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quant-ph2004
Linear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
Akihiro Ogura, Motoo Sekiguchi
We investigate two methods of constructing a solution of the Schrödinger equation from the canonical transformation in classical mechanics. One method shows that we can formulate t…
quant-ph2003
Moving Picture and Hamilton-Jacobi Theory in Quantum Mechanics
Akihiro Ogura, Motoo Sekiguchi
We propose a new picture, which we call the {\it moving picture}, in quantum mechanics. The Schrödinger equation in this picture is derived and its solution is examined. We also in…