Abstract
We have several objectives for this chapter:
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(i)
to review classical mechanics and standard quantum mechanics, providing the reader and author with a common language and common mathematical tools,
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(ii)
to note some of the features of classical mechanics desirable but missing from quantum theory,
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(iii)
to review quantum mechanical representations of [the Galilei and Poincaré] groups in enough detail to understand the terms “(non)relativistic quantum mechanics,”
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(iv)
to review the connection between classical and quantum theory due to Wigner,
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(v)
to cursorily review the algebraic and logic approaches to quantum mechanics,
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(vi)
and above all, to isolate incompatibilities among these various formalisms.
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© 1996 Springer Science+Business Media Dordrecht
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Schroeck, F.E. (1996). Basic Quantum Theory and the Necessity for Its Revision. In: Quantum Mechanics on Phase Space. Fundamental Theories of Physics, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2830-0_1
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DOI: https://doi.org/10.1007/978-94-017-2830-0_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4639-0
Online ISBN: 978-94-017-2830-0
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