A PHASE SPACE FORMULATION OF QUANTUM STATE FUNCTIONS
1993 ◽
Vol 07
(18)
◽
pp. 3255-3272
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Keyword(s):
Allowing for virtual paths in phase space permits an extension of Hamilton’s principle of least action, of lagrangians and of hamiltonians to phase space. A subsequent canonical quantization, then, provides a framework for quantum statistical mechanics. The classical statistical mechanics and the conventional quantum mechanics emerge as special case of this formalism. Von Neumann’s density matrix may be inferred from it. Wigner’s functions and their evolution equation may also be obtained by a unitary transformation.
2011 ◽
Vol 26
(26)
◽
pp. 4647-4660
Keyword(s):
2018 ◽
1977 ◽
Vol 16
(9)
◽
pp. 689-706
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Keyword(s):
1995 ◽
Vol 103
(12)
◽
pp. 5018-5026
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Keyword(s):
1994 ◽
Vol 101
(7)
◽
pp. 6157-6167
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