Q-Number Variational Method for Non-Linear Lagrangian in Quantum Mechanics
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概要
- 論文の詳細を見る
A previous q-number variational method is extended to be applicable to any quantum system for which the classical Lagrangian is given by L_c=1/2g_<ij>q^^・^iq^^・^j+u_iq^^・i-υ. The q-number variation is necessary for the formulation to be form-invariant under a general space-time transformation. From the action principle, not only the Euler-Lagrange equation but also the commutation relations up to a constant factor are obtained. Furthermore the form of the quantum Lagrangian is, to some extent, decided in order for solutions to exist for the action principle. It is shown that the first Noether theorem holds and the quantization is consistent with the canonical formalism.
- 理論物理学刊行会の論文
- 1973-11-25
著者
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SUGANO Reiji
Department of Physics, Osaka City University
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Sugano Reiji
Department Of Physics Kyoto University
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Ohtani Teruya
Department Of Physics Osaka City University
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OHTANI Teruya
Department of Mechanical Engineering,Okayama University of Science
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