Open AccessCanonical Quantization of Higher-Order Lagrangians
Author(s) -
Khaled I. Nawafleh
Publication year - 2011
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2011/375838
Subject(s) - lagrangian , quantization (signal processing) , mathematics , path integral formulation , canonical quantization , order (exchange) , first order , physics , quantum , algorithm , quantum mechanics , finance , quantum gravity , economics
After reducing a system of higher-order regular Lagrangian into first-order singular Lagrangian using constrained auxiliary description, the Hamilton-Jacobi function is constructed. Besides, the quantization of the system is investigated using the canonical path integral approximation
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