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Title:
Nine formulations of quantum mechanics
Authors:
Styer, Daniel F.; Balkin, Miranda S.; Becker, Kathryn M.; Burns, Matthew R.; Dudley, Christopher E.; Forth, Scott T.; Gaumer, Jeremy S.; Kramer, Mark A.; Oertel, David C.; Park, Leonard H.; Rinkoski, Marie T.; Smith, Clait T.; Wotherspoon, Timothy D.
Affiliation:
AA(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AB(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AC(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AD(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AE(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AF(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AG(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AH(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AI(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AJ(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AK(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AL(Department of Physics, Oberlin College, Oberlin, Ohio 44074), AM(Department of Physics, Oberlin College, Oberlin, Ohio 44074)
Publication:
American Journal of Physics, Volume 70, Issue 3, pp. 288-297 (2002).
Publication Date:
03/2002
Origin:
AIP
PACS Keywords:
Educational aids, Quantum mechanics, Probability theory, Computational methods in statistical physics and nonlinear dynamics
Abstract Copyright:
2002: American Association of Physics Teachers
DOI:
10.1119/1.1445404
Bibliographic Code:
2002AmJPh..70..288S

Abstract

Nine formulations of nonrelativistic quantum mechanics are reviewed. These are the wavefunction, matrix, path integral, phase space, density matrix, second quantization, variational, pilot wave, and Hamilton-Jacobi formulations. Also mentioned are the many-worlds and transactional interpretations. The various formulations differ dramatically in mathematical and conceptual overview, yet each one makes identical predictions for all experimental results.
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Database: Astronomy
Physics
arXiv e-prints