An &plunk;-Expansion of a Unitary Transformation and Quantum Corrections to a Canonical Transformation : Nuclear Physics
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概要
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A relation between classical canonical transformations and quantal unitary transformations is investigated with the use of the phase space method. A unitary transformed operator expressed in the phase space is expanded into a power series of &plunk; which shows that a canonical transformation can be regarded as a classical approximation (the limit &plunk; →0) to the unitary transformation. The expansion provides us with a procedure to successively evaluate quantum corrections starting with the classical limit. As an illustrative example, the lowest-order quantum correction to the Birkhoff-Gustavson transformation for a one-dimensional anharmonic oscillator is calculated in the case of Weyl correspondence rule.
- 理論物理学刊行会の論文
- 1986-07-25
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