Quantum correspondence for linear canonical transformations on general Hamiltonian systems

TY - JOUR

T1 - Quantum correspondence for linear canonical transformations on general Hamiltonian systems

AU - Yeon, Kyu Hwang

AU - Walls, Dan F.

AU - Um, Chung In

AU - George, Thomas F.

AU - Pandey, Lakshmi N.

N1 - General Hamiltonian systems related by linear canonical transformations, which are combinations of the scale and gauge transformations, are considered. Using path integrals, it is proven that each quantum Hamiltonian can be expressed by the classical Hamiltonian whose canonical variables are replaced by their corresponding quantum operators.

PY - 1998/9/1

Y1 - 1998/9/1

UR - https://ui.adsabs.harvard.edu/abs/1998PhRvA..58.1765Y/abstract

U2 - 10.1103/PHYSREVA.58.1765

DO - 10.1103/PHYSREVA.58.1765

M3 - Article

VL - 58

JO - Physical Review A

JF - Physical Review A

ER -