41. Particles, Special Relativity And Quantum Mechanics Explains some of the more interesting results and predictions of modern physics. http://atschool.eduweb.co.uk/rmext04/92andwed/pf_quant.html

Particles, Special Relativity and Quantum Mechanics Special Relativistic Paradoxes and Puzzles Tachyons The Particle Zoo Does Antimatter Fall Up or Down? ... Main Physics Contents page Special Relativistic Paradoxes The Barn and the Pole The Twin Paradox The Superluminal Scissors Relativity and Quantum Mechanics Contents The Barn and the Pole Updated 4-AUG-1992 by SIC Original by Robert Firth Paradoxes Contents These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer. You are that observer, sitting on the barn roof. You see the pole coming towards you, and it has contracted to a bit less than 40m. So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed. But consider the problem from the point of view of the runner. She will regard the pole as stationary, and the barn as approaching at high speed. In this reference frame, the pole is still 80m long, and the barn is less than 20 meters long. Surely the runner is in trouble if the doors close while she is inside. The pole is sure to get caught.

42. Quantum Mechanics — Free Online Course Materials — USU OpenCourseWare After completing this course you should (1) have a working knowledge of the foundations, techniques and key results of quantum mechanics; (2) be able to http://ocw.usu.edu/physics/classical-mechanics

Skip to content. Search Site Advanced Free Online Course Materials — USU OpenCourseWare Sections Home Courses Help About OCW ... Want Credit? Personal tools Login Join Course Contents Quantum Mechanics Home About the Professor Syllabus Lecture Notes ... Physics Quantum Mechanics Document Actions PHYS 6210 - Quantum Mechanics, Spring 2007 Quantum Mechanics Professor Charles G. Torre Physics Department Utah State University Course Structure: Hour long classes - three times a week Image courtesy of bru Course Description After completing this course you should (1) have a working knowledge of the foundations, techniques and key results of quantum mechanics; (2) be able to comprehend basic quantum mechanical applications at the research level, e.g., in research articles; (3) be able to competently explain/teach these topics to others; (4) be able to teach yourself any other related quantum mechanics material as you need it. Cite/attribute Resource Quantum Mechanics. (2007, October 15). Retrieved January 24, 2008, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/physics/classical-mechanics. This work is licensed under a Creative Commons License.

43. MIT OpenCourseWare | Chemical Engineering | 10.675J Computational Quantum Mechan 10.675J / 5.675J Computational quantum mechanics of Molecular and Extended Systems. Fall 2004. Tetrahedral Hbonded water pentamer figure. http://ocw.mit.edu/OcwWeb/Chemical-Engineering/10-675JFall-2004/CourseHome/

skip to content Home Courses Donate ... Chemical Engineering Computational Quantum Mechanics of Molecular and Extended Systems 10.675J / 5.675J Computational Quantum Mechanics of Molecular and Extended Systems Fall 2004 Hydrogen Bonding in Water . (Image courtesy of Professor Martin Chaplin, London South Bank University. Used with permission.) Course Highlights This course features a complete set of assignments and downloadable lecture notes Course Description The theoretical frameworks of Hartree-Fock theory and density functional theory are presented in this course as approximate methods to solve the many-electron problem. A variety of ways to incorporate electron correlation are discussed. The application of these techniques to calculate the reactivity and spectroscopic properties of chemical systems, in addition to the thermodynamics and kinetics of chemical processes, is emphasized. This course also focuses on cutting edge methods to sample complex hypersurfaces, for reactions in liquids, catalysts and biological systems. Staff Instructor: Prof. Bernhardt Trout

44. Quantum Mechanics quantum mechanics describes particle interactions. A few of the important quantum numbers of particles are. Electric charge. Quarks may have 2/3 or 1/3 http://www.particleadventure.org/frameless/quantum_mech.html

What Holds it Together? Quantum Mechanics One of the surprises of modern science is that atoms and sub-atomic particles do not behave like anything we see in the everyday world. They are not small balls that bounce around; they have wave properties. The Standard Model theory can mathematically describe all the characteristics and interactions that we see for these particles, but our everyday intuition will not help us on that tiny scale. Physicists use the word "quantum," which means "broken into increments or parcels," to describe the physics of very small particles. This is because certain properties only take on discrete values. For example, you can only find electric charges that are an integer multiples of the electron's charge (or 1/3 and for quarks Quantum mechanics describes particle interactions. A few of the important quantum numbers of particles are: Electric charge . Quarks may have 2/3 or 1/3 electron charges, but they only form composite particles with integer electric charge. All particles other than quarks have integer multiples of the electron's charge. Color charge . A quark carries one of three color charges and a gluon carries one of eight color-anticolor charges. All other particles are color neutral. Flavor.

45. Student Understanding Of Quantum Mechanics A set of lectures and reports outlining methods of teaching introductory quantum mechanics to a wide range of students. http://www.physics.umd.edu/perg/qm/

University of Maryland Physics Education Research Group Student Understanding of Quantum Mechanics PERG Info PERG materials PERG HOMEPAGE PER on the web ... Resources on the web Student Understanding of Quantum Mechanics The University of Maryland Physics Education Research Group is currently involved in two supported projects to study student understanding of quantum mechanics and to build a new course in introductory QM for scientists and engineers. A New Model Course in Quantum Mechanics for Scientists and Engineers E. F. Redish and R. N. Steinberg NSF grant DUE-9652877 Practical Quantum Mechanics (QM):Opening a door for tomorrow's engineers, inventors, and scientists E. F. Redish and R. N. Steinberg Department of Education FIPSE grant 116B70186 Talks Student Misconceptions on Classical Issues at the Boundary of Quantum Mechanics , E. F. Redish (18 April 97 APS/AAPT joint meeting ) Student Difficulties with Energy in Quantum Mechanics , E. F. Redish, Lei Bao and Pratibha Jolly ( 8 January 97 AAPT Winter Meeting). Student Difficulties with Quantum Mechanics , Lei Bao, Pratibha Jolly, and Edward F. Redish (8 August 96 AAPT Summer Meeting)

46. Quantum Mechanics And Tomb Raider « What’s New (I will eventually try to connect this with quantum mechanics, but please be patient for now.) Of course, for this we will need to presume that the Tomb http://terrytao.wordpress.com/2007/02/26/quantum-mechanics-and-tomb-raider/

Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao Home About Career advice On writing ... Subscribe to feed Quantum mechanics and Tomb Raider 26 February, 2007 in expository math.MP non-technical Tags: quantum mechanics tomb raider This post is derived from an interesting conversation I had several years ago with my friend Jason Newquist Quantum mechanics has a number of weird consequences, but here we are focusing on three (inter-related) ones: Objects can behave both like particles (with definite position and a continuum of states) and waves (with indefinite position and (in confined situations) quantised states); The equations that govern quantum mechanics are deterministic, but the standard interpretation of the solutions of these equations is probabilistic; and If instead one applies the laws of quantum mechanics literally In trying to come up with a classical conceptual model in which to capture these non-classical phenomena, we eventually hit upon using the idea of using computer games as an analogy. The exact choice of game is not terribly important, but let us pick Tomb Raider - a popular game from about ten years ago (back when I had the leisure to play these things), in which the heroine

47. Schroedinger: "The Present Situation In Quantum Mechanics" Original Shrodinger s cat paper (1935), translated to English. http://www.tu-harburg.de/rzt/rzt/it/QM/cat.html

THE PRESENT SITUATION IN QUANTUM MECHANICS: Translator: John D. Trimmer This translation was originally published in Proceedings of the American Philosophical Society , 124, 323-38. [And then appeared as Section I.11 of Part I of Quantum Theory and Measurement (J.A. Wheeler and W.H. Zurek, eds., Princeton university Press, New Jersey 1983).] Contents Introductory Note 1. The Physics of Models 2. Statistics of Model Variables in Quantum Mechanics 3. Examples of Probability Predictions ... Notes Introductory Note in Die Naturwissenschaften . Earlier that same year there had appeared the Einstein, Podolsky, Rosen paper TRANSLATION The Physics of Models In the second half of the previous century there arose, from the great progress in kinetic theory of gases and in the mechanical theory of heat, an ideal of the exact description of nature that stands out as the reward of centuries-long search and the fulfillment of millennia-long hope, and that is called classical. These are its features. Of natural objects, whose observed behavior one might treat, one set sup a representation - based on the experimental data in one's possession but without handcuffing the intuitive imagination - that is worked out in all details exactly

48. "Many-Worlds" Interpretation Of Quantum Mechanics The manyworlds interpretation of quantum mechanics a brief description for the lay reader, some philosophical considerations, and links to more rigorous http://www.station1.net/DouglasJones/many.htm

The Many-Worlds Interpretation of Quantum Mechanics - a brief description for the lay reader, some philosophical considerations, and links to more rigorous treatments In 1957, Hugh Everett III proposed a radical new way of dealing with some of the more perplexing aspects of quantum mechanics. It became known as the Many-Worlds Interpretation. According to this interpretation, whenever numerous viable possibilities exist, the world splits into many worlds, one world for each different possibility (in this context, the term "worlds" refers to what most people call "universes"). In each of these worlds, everything is identical, except for that one different choice; from that point on, they develop independently, and no communication is possible between them, so the people living in those worlds (and splitting along with them) may have no idea that this is going on. In this way, the world branches endlessly. What is "the present" to us, lies in the pasts of an uncountably huge number of different futures. Everything that can happen, does, somewhere.

49. Bohmian Mechanics And The Foundations Of Quantum Mechanics It would seem that the theory quantum mechanics is exclusively concerned about results of measurement , and has nothing to say about anything else. http://www.math.rutgers.edu/~oldstein/quote.html

Mathematical Physics No attempt will be made here to explain what mathematical physics is about. There is no general agreement even among the experts. Moreover, this field of research is regarded as somewhat dubious by many physicists. However, the following words of Maxwell are right on target: The first processes, therefore, in the effectual studies of the sciences, must be ones of simplification and reduction of the results of previous investigations to a form in which the mind can grasp them. J.C. MAXWELL On Faraday's lines of force Foundations of Quantum Mechanics Nobody has explained why we should worry about the foundations of quantum mechanics better than John Bell: ... conventional formulations of quantum theory, and of quantum field theory in particular, are unprofessionally vague and ambiguous. Professional theoretical physicists ought to be able to do better. Bohm has shown us a way. J.S. BELL Speakable and Unspeakable in Quantum Mechanics It would seem that the theory [quantum mechanics] is exclusively concerned about "results of measurement", and has nothing to say about anything else. What exactly qualifies some physical systems to play the role of "measurer"? Was the wavefunction of the world waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system ... with a Ph.D.? If the theory is to apply to anything but highly idealized laboratory operations, are we not obliged to admit that more or less "measurement-like" processes are going on more or less all the time, more or less everywhere. Do we not have jumping then all the time?

50. Todd's Intro To Quantum Mechanics Todd s Intro to quantum mechanics provides the average nonscientist with a brief overview of the importance and wonder of quantum mechanics. http://www.quantumintro.com/

Intro to Quantum Mechanics Sigh So please read on, and take a dip in an ocean of information that I find completely invigorating! If the above picture is your idea of an atom, with electrons looping around the nucleus, you are about 70 years out of date. It's time to open your eyes to the modern world of quantum mechanics! The picture below shows some plots of where you would most likely find an electron in a hydrogen atom (the nucleus is at the center of each plot). What is quantum mechanics? Simply put, quantum mechanics is the study of matter and radiation at an atomic level. Why was quantum mechanics developed? In the early 20th century some experiments produced results which could not be explained by classical physics (the science developed by Galileo Galilei, Isaac Newton, etc.). For instance, it was well known that electrons orbited the nucleus of an atom. However, if they did so in a manner which resembled the planets orbiting the sun, classical physics predicted that the electrons would spiral in and crash into the nucleus within a fraction of a second. Obviously that doesn't happen, or life as we know it would not exist. (Chemistry depends upon the interaction of the electrons in atoms, and life depends upon chemistry). That incorrect prediction, along with some other experiments that classical physics could not explain, showed scientists that something new was needed to explain science at the atomic level. If classical physics is wrong, why do we still use it?

51. Quantum Mechanics The giant, this time, is quantum mechanics, heralded by theologians as the greatest contemporary threat to Christianity. Physicists have proliferated http://www.reasons.org/resources/apologetics/quantummech.shtml

Search Entire Site Today's New Reason to Believe Archive Apologetics Area Creation Update Archives All Multimedia Connections, Staying Connected Facts and Faith Facts for Faith Chapters Quantum Mechanics, a Modern Goliath by Hugh Ross, Ph. D. related articles: Evidence for Design of the Cosmos New Astronomical Proofs for the Existence of God Design and the Anthropic Principle Astronomical Evidences for the God of the Bible A few years ago an alarm was sounded like the one that echoed through Israel's camp in the days of King Saul. The giant, this time, is quantum mechanics, heralded by theologians as "the greatest contemporary threat to Christianity."' Physicists have proliferated popular books exploiting the esoteric nature of quantum phenomena to undermine the Christian view of origins. These attacks seem to express a defiant reaction to the mounting evidence from physics and astronomy that the universe-all matter, energy, space, and time-began in a transcendent creation event, and that the universe has been strategically designed for life.

52. KryssTal : An Introduction To Quantum Mechanics An essay introducing quantum mechanics and the strange world of the atom. http://www.krysstal.com/quantum.html

[Home Page] [Physics Page] [It's Relative] [Quantum Mechanics] ... [Other] An Introduction to Quantum Mechanics A beginners' (non-mathematical) guide to the strange world of the atom var site="sm4krysstal" Support this web site by making a donation Part One - The Story of The Atom In the essay on Relativity , I stated that the Theory of Relativity was one of the two most important ideas of 20th Century science. Relativity is a deviation from Newtonian Mechanics (also known as common sense!). The deviations were not discovered until this Century because they are only noticeable at high speeds and under very intense gravitational fields. There is another 20th Century idea that also violates Newtonian Mechanics. This is called Quantum Mechanics In this essay I will give a taste of the strange and fascinating world of the atom. I will try to keep it general and simple because these ideas are even more weird than Relativity (if that is possible). The Ancient Greeks proposed that matter could not be divided indefinitely. They speculated that matter was made up of units called atoms . The word comes from a Greek word meaning single item or portion . They assumed that atoms were solid, different characteristics of substances being determined by the different shapes that atoms had. This atomic idea never really became popular.

53. Lie Groups And Quantum Mechanics Lie Groups and quantum mechanics. quantum mechanics Twostate Systems Quantum States Hermitian Observables Unitary Evolution Operators http://math.ucr.edu/home/baez/lie/lie.html

54. The Noisy Birth Of Quantum Mechanics - Telegraph And few theories are stranger than quantum mechanics, the study of the inner world of the atom. As scientists started peering into the atom in the first http://www.telegraph.co.uk/arts/main.jhtml?view=DETAILS&grid=&xml=/arts/2007/08/

55. AIP Conference Proceeding 844QUANTUM MECHANICS Are There Quantum Readership Researchers and graduate students interested in the foundations of quantum mechanics as well as mathematical physics, statistical physics, http://proceedings.aip.org/proceedings/confproceed/844.jsp

56. Gordon Research Conferences - 2002 Program (Physics Research And Education) Teaching quantum mechanics in the Paradigms Curriculum Research experiments and experimental teaching in quantum mechanics http://www.grc.org/programs/2002/physres.htm

Gordon Research Conferences Conference Program RadPanelbarAppendStyleSheet('radPanelBar1', ''); Home Conferences Current Meetings (2008) Past Meetings Conference Portfolio Proposing a New Gordon Conference For Attendees Online Application Conference Fees Minority Diversity Initiative Chair Contact Information About GRC News and Events What is GRC? Mission Statement A Brief History Supporting GRC The Organization Directors Board of Trustees Alexander M. Cruickshank Awards Strategic Plan For Chairs Chair Resource Center Advice for Chairs Miscellaneous The GRC Solar Electric System Conference Photo Archive Project Home Current Meetings (2008) Past Meetings Conference Portfolio ... Conference Photo Archive Project QUICK SEARCH JavaScript must be enabled to use this feature. Please use the advanced search utility. advanced search FEATURED MEETINGS May 25-30, 2008 Il Ciocco Italy Mechanical Systems In The Quantum Regime Feb 17-22, 2008

57. Teleportation But the six scientists found a way to make an end run around this logic, using a celebrated and paradoxical feature of quantum mechanics known as the http://www.research.ibm.com/quantuminfo/teleportation/

Quantum Teleportation In 1993 an international group of six scientists, including IBM Fellow Charles H. Bennett, confirmed the intuitions of the majority of science fiction writers by showing that perfect teleportation is indeed possible in principle, but only if the original is destroyed. In subsequent years, other scientists have demonstrated teleportation experimentally in a variety of systems, including single photons, coherent light fields, nuclear spins, and trapped ions. Teleportation promises to be quite useful as an information processing primitive, facilitating long range quantum communication (perhaps unltimately leading to a "quantum internet"), and making it much easier to build a working quantum computer. But science fiction fans will be disappointed to learn that no one expects to be able to teleport people or other macroscopic objects in the foreseeable future, for a variety of engineering reasons, even though it would not violate any fundamental law to do so. A , which one wishes to teleport, while causing the remaining, unscanned, part of the information to pass, via the Einstein-Podolsky-Rosen effect, into another object C which has never been in contact with A . Later, by applying to

58. Mangled Worlds Quantum Mechanics Describes a variation on the many worlds interpretation in which the Born probability rule can be derived via finite world counting. http://hanson.gmu.edu/mangledworlds.html

When Worlds Collide: Mangled Worlds Quantum Mechanics by Robin Hanson , March 21, 2003. (Revised April, 2006.) This variation on the many worlds interpretation of quantum mechanics allows us to derive the Born probability rule via finite world counting and no new physics. One of the deepest questions in physics is this: what exactly happens during a quantum measurement? Under the traditional (or "Copenhagen") view, quantum mechanics tells you how to calculate the probabilities of different measurement outcomes. You are to create a wave that describes your initial situation, and then have your wave evolve in time according to a certain linear deterministic rule until the time of a measurement. The equation that describes this rule is very much like the equations that govern the spread of waves over water, or of sound waves in the air. At the time of a measuremment you are to use the "Born rule" to convert your wave into probabilities of seeing different outcomes. This rule says to break your wave into compoments corresponding to each measurement outcome, and that the probability of each outcome is the measure (or size) of the corresponding component. After a measurement, you can again continue to evolve your wave via the linear deterministic rule, starting with the wave component corresponding to the outcome that was seen. The problem is, this procedure seems to say that during quantum measurements physical systems evolve according to a fundamentally different process. If, during a quantum measurement, you applied the usual wave propogation rule, instead of the Born probability rule, you would get a different answer. Now for generations students have been told not to worry about this, that the quantum wave doesn't describe what is really out there, but only what we know about what is out there. But when students ask what is really out there, they are told either that is one of the great mysteries of physics, or that such questions just do not make sense.

59. Shtetl-Optimized » Blog Archive » Australian Actresses Are Plagiarizing My Qua Australian actresses are plagiarizing my quantum mechanics lecture to sell The ad was funny and a good ad because they took quantum mechanics and had http://www.scottaaronson.com/blog/?p=277

60. Chapters II-V Of Quantum Mechanics An intuitive description of Feynman s version of quantum mechanics written in poetic language. http://www.jupiterscientific.org/science/baeparts/qm2345.html

Chapters II-V of Quantum Mechanics of The Bible According to Einstein To the index of The Bible According to Einstein (Adjust width of browser to the width of the running title (the first line). Much of the formatting of The Bible According to Einstein cannot be implemented in html) To Chapter I To Chapters VI-XIII The Bible According to Einstein Chapter II: Paths Ask among all paths, which is the good way? And walk therein, for ye shall find there peace. N ow quantum mechanics has two formulations. And the first is the path integral. Now the position of a moving particle as time evolves shall constitute the particle's trajectory . Thus a trajectory shall be a curve through space and time. And because it is a curve in space and time, it shall also be a path . And a point on the path at a particular time shall be the position of the particle. The New Testament 213 And it is as though thou walkest along a wooded valley trail between two mountains. And thou beginst thy walk at the beginning of the trail. And thirty minutes later, thou hast traversed one mile of track. And one hour later, thou art two miles from the start. And two hours later, thou finishest thy walk. And since thou traverst the trail in a steady manner, anyone knows where thou art at any time. Thy motion is

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