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- W2001530266 abstract "An effective generating function F(q,Q) is introduced for any given pair of quantum-mechanical systems whose classical Hamiltonians are canonically equivalent. Using ${e}^{mathrm{iF}}$ as a kernel, an integral transform relates the wave functions of the corresponding quantum systems. The function F reduces in the classical limit (ensuremath{Elzxh}ensuremath{rightarrow}0) to the generating function of the classical transformation. Conversely, starting with the classical form, F can be calculated in a recurrent fashion, order by order in powers of ensuremath{Elzxh}. For the canonical transformation that relates a particle moving in an exponential (Liouville) potential to a free particle, the effective quantum generating function is identical to its classical counterpart. The generalization to quantum field theory is possible using the Schrodinger wave-functional formalism." @default.
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- W2001530266 date "1987-02-15" @default.
- W2001530266 modified "2023-09-26" @default.
- W2001530266 title "Effective generating functions for quantum canonical transformations" @default.
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- W2001530266 doi "https://doi.org/10.1103/physrevd.35.1289" @default.
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