Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. III
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概要
- 論文の詳細を見る
Schwinger's variational principle is formulated for the multi-dimensional quantum system which corresponds to the classical system described by the Lagrangian L_c(x^^・, x)=(M/2)g_<ij(x)>x^^・^ix^^・^j-υ(x). The c-number variations of coordinates and time are sufficient to give the laws of quantum mechanics. The Euler-Lagrange equation, the canonical equations of motion and the canonical commutation relations are derived from this principle and there is no inconsistency. An appropriate choice of the Lagrangian operator is essential in our formulation. It is shown that an arbitrary point transformation is entitled to be called a canonical transformation. Ambiguities in the quantal Lagrangian are also discussed.
- 理論物理学刊行会の論文
- 1973-08-25
著者
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Kamo Hideki
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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