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.


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
Full Text: DOI


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