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Canonical quantization of higher-order Lagrangians. (English) Zbl 1226.81098

Summary: After reducing a system of higher-order regular Lagrangians into first-order singular Lagrangians using a constrained auxiliary description, the Hamilton-Jacobi function is constructed. Besides, the quantization of the system is investigated using the canonical path integral approximation.

MSC:

81S05 Commutation relations and statistics as related to quantum mechanics (general)
81S40 Path integrals in quantum mechanics
70H03 Lagrange’s equations
70H20 Hamilton-Jacobi equations in mechanics
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