Abstract
The solution of Dirac particles confined in a one-dimensional finite square well potential is solved by using the path-integral formalism for Dirac equation. The propagator of the Dirac equation in case of the bounded Dirac particles is obtained by evaluating an appropriate path integral, directly constructed from the Dirac equation. The limit of integration techniques for evaluating path integral is only valid for the piecewise constant potential. Finally, the Dirac propagator is expressed in terms of standard special functions.
Highlights
The solution of Dirac particles confined in a one-dimensional finite square well potential is solved by using the path-integral formalism for Dirac equation
This paper applied the path-integral formalism to solve the Dirac equation of Dirac particles confined in a one-dimensional finite square well potential of depth V0 ≤ 0 and width a
The Dirac propagator which is obtained by evaluating an appropriate path integral, directly constructed from the Dirac equation, is expressed in terms of standard special functions as in Equation (29)
Summary
The solution of Dirac particles confined in a one-dimensional finite square well potential is solved by using the path-integral formalism for Dirac equation. The solution of quantum mechanical problems in non-relativistic nonummy eget, consectetuer id, vulputate a, magna. Iaculis in, the finite square well potential is of great practical importance since pretium quis, viverra ac, nunc. Praesent eget it forms the basis for understanding low-dimensional structures such sem vel leo ultrices bibendum. Curabitur auctor sem- For relativistic quantum mechanics, the problem of a Dirac particle per nulla. Duis confined in a finite square well potential is a useful tool to discuss, in nibh mi, congue eu, accumsan eleifend, sagit- advanced quantum mechanics courses. Morbi auctor lorem non tential” and the textbooks of Relativistic Quantum Mechanics [8] the justo. vitae, Nam lacus ultricies et, libero, tellus
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