NEW APPROACH TO THE PATH-INTEGRAL REPRESENTATION FOR THE DIRAC PARTICLE PROPAGATOR

Date

1994-11-15

Author

Alıyev, Tahmasıb
PAK, NK

Metadata

Show full item record

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

Item Usage Stats

153
views

0
downloads

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 the gauge condition. The path integral representation as in the canonical case has been obtained from the general quantization method of Batalin, Fradkin, and Vilkovisky employing a Weyl symbol representation; being the nontrivial first class constraint algebra for a Dirac particle plays an important role in this derivation. This algebra is the limiting case of the superconformal algebra for a Ramond-type open string when the width of one goes to zero.

Subject Keywords

Quantization, Mechanics

URI

https://hdl.handle.net/11511/36065

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.50.6594

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

PATH-INTEGRAL FOR SPIN - A NEW APPROACH Alıyev, Tahmasıb; PAK, NK (1994-10-31) The path integral representation for the propagator of a Dirac particle in an external electromagnetic field is derived using the functional derivative formalism with the help of Weyl symbol representation for the Grassmann vector part of the variables. The proposed method simplifies the proof of the path integral representation starting from the equation for the Green function significantly and automatically leads to a precise and unambiguous set of boundary conditions for the anticommuting variables and p...
A NEW METHOD FOR HARMONIC RESPONSE OF NONPROPORTIONALLY DAMPED STRUCTURES USING UNDAMPED MODAL DATA Özgüven, Hasan Nevzat (Elsevier BV, 1987-09-08) A method of calculating the receptances of a non-proportionally damped structure from the undamped modal data and the damping matrix of the system is presented. The method developed is an exact method. It gives exact results when exact undamped receptances are employed in the computation. Inaccuracies are due to the truncations made in the calculation of undamped receptances. Numerical examples, demonstrating the accuracy and speed of the method when truncated receptance series are used are also presented. ...
Thermal convection in the presence of a vertical magnetic field Guray, E.; Tarman, H. I. (Springer Science and Business Media LLC, 2007-11-01) The interaction between thermal convection and an external uniform magnetic field in the vertical is numerically simulated within a computational domain of a horizontally periodic convective box between upper and lower rigid plates. The numerical technique is based on a spectral element method developed earlier to simulate natural thermal convection. In this work, it is extended to a magnetoconvection problem. Its main features are the use of rescaled Legendre-Lagrangian polynomial interpolants in expanding...
AN INTEGRABLE FAMILY OF MONGE-AMPERE EQUATIONS AND THEIR MULTI-HAMILTONIAN STRUCTURE NUTKU, Yavuz; Sarıoğlu, Bahtiyar Özgür (1993-01-01) We have identified a completely integrable family of Monge-Ampère equations through an examination of their Hamiltonian structure. Starting with a variational formulation of the Monge-Ampère equations we have constructed the first Hamiltonian operator through an application of Dirac's theory of constraints. The completely integrable class of Monge-Ampère equations are then obtained by solving the Jacobi identities for a sufficiently general form of the second Hamiltonian operator that is compatible with the...
Flexible multibody analysis using absolute nodal coordinate formulation Çiftçi, Muhammed Ali; Darendeliler, Haluk; İder, S. Kemal; Department of Mechanical Engineering (2014) The motion of the planar flexible multibody system with large deformation is analyzed by using the absolute nodal coordinate formulation (ANCF). For this purpose, flexible multibody systems consisting of beams are considered. In the conventional planar ANCF beam elements, there are two nodes located at the ends. Each element has eight degrees of freedom which consist of four global coordinates and four global slopes. In this study, a planar beam element is developed with quadratic shape functions and new no...

Citation Formats

T. Alıyev and N. PAK, “NEW APPROACH TO THE PATH-INTEGRAL REPRESENTATION FOR THE DIRAC PARTICLE PROPAGATOR,” PHYSICAL REVIEW D, pp. 6594–6598, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36065.