Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. I : One Dimensional Case
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概要
- 論文の詳細を見る
Schwinger's variational principle is formulated for the quantum system which corresponds to the one-dimensional classical system described by the Lagrangian L_c(x^^・,x)=(M/2)f^<-1>(x)x^^・^2-υ(x) It is sufficient for the purpose of deriving the laws of quantum mechanics to consider only c-number variations of coordinate and time. The Euler-Lagrange equation, the canonical equations of motion and the canonical commutation relation are derived from the principle. All resulting relations are consistent with one another. Further, it is shown that an arbitrary point transformation leaves the forms of the fundamental equations invariant and is suitable to be called a canonical transformation. The appropriate choice of the Lagrangian operator is essential in our formulation.
- 理論物理学刊行会の論文
- 1972-12-25
著者
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KAWAI Toshiharu
Department of Medical Genetics, Graduate School of Comprehensive Human Sciences, University of Tsuku
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Kawai Toshiharu
Department Of Physics Dalhousie University Halifax : Department Of Physics Osaka City University
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Kawai Toshiharu
Department Of Medical Genetics Graduate School Of Comprehensive Human Sciences University Of Tsukuba
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KAWAI Toshiharu
Department of Physics, Dalhousie University Halifax : Department of Physics, Osaka City University
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