1995
DOI: 10.1103/physreva.52.82
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Green’s functions via path integrals for systems with position-dependent masses

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Cited by 68 publications
(58 citation statements)
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“…The relations (75) imply the equalities B = C = L{L 1 , L 2 , L 3 , P 1 , P 2 , B 1 , B 2 , J, E}, while the required analytic domain D A is furnished by the span of the eigenfunctions ψ n,m of L 3 . These take the explicit, timedependent form [72] ψ n,m = (2 m+n+1 πn!m!)…”
Section: Examplementioning
confidence: 99%
See 1 more Smart Citation
“…The relations (75) imply the equalities B = C = L{L 1 , L 2 , L 3 , P 1 , P 2 , B 1 , B 2 , J, E}, while the required analytic domain D A is furnished by the span of the eigenfunctions ψ n,m of L 3 . These take the explicit, timedependent form [72] ψ n,m = (2 m+n+1 πn!m!)…”
Section: Examplementioning
confidence: 99%
“…In the semiconductor application, the effective mass of a carrier depends spatially on the graded composition of the semiconductor alloys used in the barrier and well regions of the microstructures [75]. The wave functions of the stationary states of Eq.…”
Section: Examplementioning
confidence: 99%
“…The effective masses could have a spatially variation depending on the microstructure of the medium. Systems with position dependent mass are studied in several works during the last years [1][2][3][4][5] and [6]. A general method was outlined in [1] for obtaining exact solutions of Schrödinger equations with a position dependent effective mass and the results were compared with other approaches [7,8] and [9].…”
Section: Introductionmentioning
confidence: 99%
“…Considering scattering in abrupt heterostructures and us- * E-mail: lyazidchetouani@gmail.com ing a position dependent mass Hamiltonian with a square well potential in [2], the authors had chosen the framework of the Schrödinger equation approach. However, in [3] the Green's function equation was used to study the problem of systems with position dependent masses. Using path integrals formalism the Green's function was written and was connected to constant mass Green's function by a time and space rescaling.…”
Section: Introductionmentioning
confidence: 99%
“…The boundary conditions for the eight component wave function for the case of the step potentiel are unknown. Then, in order to bypass this problem, we take V (x) as a smooth potential [9,10,11]. The analytic solution of the FV-1/2 equation with the smooth potential is given.…”
mentioning
confidence: 99%