Two-Dimensional Linear Dependencies on the Coordinate Time-Dependent Interaction in Relativistic Non-Commutative Phase Space |
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Authors: | H Sobhani H Hassanabadi |
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Institution: | Physics Department, University of Shahrood, Shahrood, Iran P.O. Box, 3619995161-316, Shahrood, Iran |
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Abstract: | In this paper, the Non-Commutative phase space and Dirac equation, time-dependent Dirac oscillator are introduced. After presenting the desire general form of a two-dimensional linear dependency on the coordinate time-dependent potential, the Dirac equation is written in terms of Non-Commutative phase space parameters and solved in a general form by using Lewis-Riesenfield invariant method and the time-dependent invariant of Dirac equation with two-dimensional linear dependency on the coordinate time-dependent potential in Non-Commutative phase space has been constructed, then such latter operations are done for time-dependent Dirac oscillator. In order to solve the differential equation of wave function time evolution for Dirac equation and time-dependent Dirac oscillator which are partial differential equation some appropriate ordinary physical problems have been studied and at the end the interesting result has been achieved. |
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Keywords: | Non-Commutative phase space Dirac equation time-dependent Dirac oscillator two-dimensional linear dependency on the coordinate time-dependent potential |
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