The Feynman path integral quantization of constrained systems

Date

1997-01-01

Author

Muslih, S
Guler, Y

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

124
views

0
downloads

The Feynman path integral for constrained systems is constructed using the canonical formalism introduced by Guler. This approach is applied to a free relativistic particle and Christ-Lee model.

Subject Keywords

Singular Systems, Field

URI

https://hdl.handle.net/11511/65766

Journal

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

The path integral quantization and the construction of the S-matrix operator in the Abelian and non-Abelian Chern-Simons theories Fainberg, VY; Pak, Namık Kemal; Shikakhwa, MS (IOP Publishing, 1997-06-07) The covariant path integral quantization of the theory of the scalar and spinor fields interacting through the Abelian and non-Abelian Chern-Simons gauge fields in 2 + 1 dimensions is carried out using the De Witt-Fadeev-Popov method. The mathematical ill-definiteness of the path integral of theories with pure Chern-Simons' fields is remedied by the introduction of the Maxwell or Maxwell-type (in the non-Abelian case) terms, which make the resulting theories super-renormalizable and guarantees their gauge-i...
Conformal black hole solutions of axidilaton gravity in D dimensions Cebeci, H; Dereli, T (2002-02-15) Static, spherically symmetric solutions of axidilaton gravity in D dimensions are given in the Brans-Dicke frame for arbitrary values of the Brans-Dicke constant omega and an axion-dilaton coupling parameter k. The mass and the dilaton and axion charges are determined and a BPS bound is derived. There exists a one-parameter family of black hole solutions in the scale-invariant limit.
NEW APPROACH TO THE PATH-INTEGRAL REPRESENTATION FOR THE DIRAC PARTICLE PROPAGATOR Alıyev, Tahmasıb; PAK, NK (1994-11-15) The path integral representation for the propagator of a spinning particle in an external electromagnetic field is derived using the functional derivative formalism with the help of a Weyl symbol representation. The proposed method essentially simplifies the proof of the path integral representation starting from the equation for the Green function and automatically leads to a precise and unambiguous form of the boundary conditions for the Grassmann variables and puts a strong restriction on the choice of t...
The scaled Hermite–Weber basis in the spectral and pseudospectral pictures Taşeli, Hasan (Springer Science and Business Media LLC, 2005-10) Computational efficiencies of the discrete (pseudospectral, collocation) and continuous (spectral, Rayleigh-Ritz, Galerkin) variable representations of the scaled Hermite-Weber basis in finding the energy eigenvalues of Schrodinger operators with several potential functions have been compared. It is well known that the so-called differentiation matrices are neither skew-symmetric nor symmetric in a pseudospectral formulation of a differential equation, unlike their Rayleigh-Ritz counterparts. In spite of th...
An integral equation approach to the computation of nonlinear fields in electrical machines Kükrer, Osman; Ertan, H. Bülnet (Institute of Electrical and Electronics Engineers (IEEE), 1988-7) A numerical method based on an integral equation formulation, for the computation of nonlinear magnetostatic field, in two dimensions in cylindrical polar coordinates is given. The correctness of the method is illustrated by solving two linear two-dimensional magnetic field problems which have readily available analytical solutions. The dependence of the accuracy of the solution on the number and distribution of the meshes is studied on these examples. The method is then applied to the computation of the no...

Citation Formats

S. Muslih and Y. Guler, “The Feynman path integral quantization of constrained systems,” NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, pp. 97–107, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65766.