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Nine formulations of quantum mechanics
Author(s) -
Daniel F. Styer,
Miranda S. Balkin,
Kathryn M. Becker,
Matthew R. Burns,
Christopher E. Dudley,
Scott Forth,
Jeremy S. Gaumer,
Mark Kramer,
D. Oertel,
Leonard H. Park,
Marie T. Rinkoski,
Clait T. Smith,
Timothy D. Wotherspoon
Publication year - 2002
Publication title -
american journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 99
eISSN - 1943-2909
pISSN - 0002-9505
DOI - 10.1119/1.1445404
Subject(s) - physics , quantization (signal processing) , path integral formulation , wave function , classical mechanics , phase space , quantum mechanics , quantum , theoretical physics , mathematics , algorithm
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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