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Zbl 1226.81098
Nawafleh, Khaled I.
Canonical quantization of higher-order Lagrangians. (English)
[J] J. Appl. Math. 2011, Article ID 375838, 11 p. (2011). ISSN 1110-757X; ISSN 1687-0042/e

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 2000:
*81S05 Commutation relations (quantum theory)
81S40 Path integrals in quantum mechanics
70H03 Lagrange's equations
70H20 Hamilton-Jacobi equations

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