scholarly journals Time dependent canonical transformations and the symmetry‐equals‐invariant theorem

1977 ◽  
Vol 18 (12) ◽  
pp. 2432-2435 ◽  
Author(s):  
John R. Cary
Keyword(s):  
Time Dependent ◽  
Canonical Transformations

Generalized canonical transformations for time‐dependent systems

1983 ◽  
Vol 24 (12) ◽  
pp. 2745-2750 ◽  
Author(s):  
Manuel Asorey ◽  
José F. Cariñena ◽  
Luis A. Ibort
Keyword(s):  
Time Dependent ◽  
Canonical Transformations

scholarly journals Canonical transformations and the Hamilton-Jacobi theory in quantum mechanics

1999 ◽  
Vol 77 (6) ◽  
pp. 411-425 ◽  
Author(s):  
J -H Kim ◽  
H -W Lee
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Generating Functions ◽  
Jacobi Equation ◽  
Classical Case ◽  
Time Dependent ◽  
Canonical Transformations ◽  
Hamilton Jacobi Equation ◽  
Number Form

Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number form of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.PACS Nos.: 03.65-w, 03.65Ca, 03.65Ge

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