Hamiltonian formulation of generalized quantum dynamics——Quantum mechanical problem

The Hamiltonian formulation of the usual complex quantum mechanics in the theory of generalized quantum dynamics is discussed. After the total trace Lagrangian, total trace Hamiltonian and two kinds of Poisson brackets are introduced, both the equations of motion of some total trace functionals whic...

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Bibliographic Details
Published in中国科学：数学英文版 no. 4; pp. 417 - 421
Main Author 吴宁 阮图南
Format Journal Article
LanguageEnglish
Published 1997
Subjects
bracket
canonical
condition
equation
Hamiltonian
motion
Poisson
quantization
total
trace
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Summary:The Hamiltonian formulation of the usual complex quantum mechanics in the theory of generalized quantum dynamics is discussed. After the total trace Lagrangian, total trace Hamiltonian and two kinds of Poisson brackets are introduced, both the equations of motion of some total trace functionals which are expressed by total trace Poisson brackets and the equations of motion of some operators which are expressed by the without-total-trace Poisson brackets are obtained. Then a set of basic equations of motion of the usual complex quantum mechanics are obtained, which are also expressed by the Poisson brackets and total trace Hamiltonian in the generalized quantum dynamics. The set of equations of motion are consistent with the corresponding Heisenberg equations.
Bibliography:11-5837/O1
WU Ning and RUAN Tunan(CCAST (World Lab), Beijing 100080, China; Department of Physics, University of Science and Technology of China, Hefei 230026, China)
ISSN:1674-7283
1869-1862