Separation of variables and exactly soluble time-dependent potentials in quantum mechanics

Efthimiou, Costas; Spector, Donald

doi:10.1103/physreva.49.2301

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1998

2022

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Cited by 31 publications

(26 citation statements)

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“…Recently, a new method based on separation of variables and time-dependent redefinition of the spatial coordinate has been developed by Efthimiou and Spector [3]. In this paper we shall use this method to obtain the explicit expressions of 9 n (x, t) and : n (t).…”

Section: Introductionmentioning

confidence: 98%

Separation of Variables Treatment of the Invariant Quadratic in Momentum for Any Admissible Potential

Song

Xie

1998

Annals of Physics

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Section: Introductionmentioning

confidence: 98%

Separation of Variables Treatment of the Invariant Quadratic in Momentum for Any Admissible Potential

Song

Xie

1998

Annals of Physics

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“…Among them let us quote: the Lewis Riesenfield method based on the invariant operator in non relativistic quantum mechanics [5], the Heisenberg representation [6], the standard method of separation of variables [7] and the supersymmetry method [8]. In addition, the applicability of these techniques was extended to the relativistic case [9,10].…”

Section: Introductionmentioning

confidence: 99%

DKP particle in time-dependent field

2006

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We present the solution of Duffin-Kemmer-Petiau (DKP) equation of spin 0 and 1 in the case of the time-dependent mass in the presence of a time-dependent linear scalar field. Calculation is carried out analytically, the wave functions are then deduced for both cases and are connected respectively to the auxiliary equations. The adiabatic approximation is deduced and reveals that in this study we have an obvious absence of the geometrical amplitude factor.

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“…The time-dependent version of the rationally extended radial oscillator potential for the parameter settings(35). This article is copyrighted as indicated in the article.…”

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confidence: 99%