The propagator for step potential and mass using path decomposition method

Laissaoui, Aïda; Chétouani, L.

doi:10.2478/s11534-009-0124-7

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Propagator Derivation1

Introduction1

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2012

2018

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Cited by 3 publications

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“…we can transform the expression for the Green function (15) precisely to the form (24), and with the use of eq. (25), write down for the quantum propagator K LR (x , x ;T ) as…”

Section: Propagator Derivationmentioning

confidence: 99%

Once again on quantum propagator for the step potential

Krylov

Belov

2012

AIP Conference Proceedings

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We present one another consideration of the propagator for a quantum particle in the presence of the step potential. This problem has been under treatment several times both as quantum and as stochastic ones but the explicit formulas derived in [12] for a problem in the "imaginary time representation" could hardly be used for computations in quantum case. Following mainly [5] the systematic exploration performed and the explicit expressions for the propagator in real time are constructed.

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“…we can transform the expression for the Green function (15) precisely to the form (24), and with the use of eq. (25), write down for the quantum propagator K LR (x , x ;T ) as…”

Section: Propagator Derivationmentioning

confidence: 99%

Once again on quantum propagator for the step potential

Krylov

Belov

2012

AIP Conference Proceedings

View full text Add to dashboard Cite

show abstract

“…Nevertheless, a correct orthonormal set of eigenfunctions was considered in [9, 10] The paper [9] as well as [11] also includes a correct expression for the propagator in terms of imaginary time obtained by the means of the path decomposition expansion technique developed in [12]. Extra prove for the propagator found in [9] is available in [13].…”

Section: Introductionmentioning

confidence: 99%