A general treatment of singular Lagrangians with linear velocities

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Baleanu D., Guler Y.

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, vol.115, no.3, pp.319-324, 2000 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 115 Issue: 3
• Publication Date: 2000
• Journal Name: NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
• Page Numbers: pp.319-324
• Middle East Technical University Affiliated: No

Abstract

The Hamilton-Jacobi treatment of singular systems with linear velocities is investigated. Since the rank of Hessian matrix is zero, all the generalized coordinates are independent parameters. Integrability conditions reduce the degrees of freedom. Path integral quantization is analyzed.