A one-dimensional Schrödinger equation with position-dependent effective mass in the kinetic-energy operator is studied in the framework of an so(2,1) algebra. New mass-deformed versions of Scarf II, Morse, and generalized Pöschl-Teller potentials are obtained. Consistency with the intertwining condition is pointed out.

B BAGCHI

P GORAIN

C QUESNE

R ROYCHOUDHURY

Fulltext

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Czechoslovak Journal of Physics

We provide some explicit examples wherein the Schrödinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show how in such a context, the map from the full line (-∞, ∞) to the half-line (0, ∞) may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems. © World Scientific Publishing Company.

Modern Physics Letters A

Morse potential and its relationship with the Coulomb in a position-dependent mass background

A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wavefunctions are derived. It is shown that in a mapping to an auxiliary constant-mass Schrödinger picture one obtains one-period 'associated Lamé' well bounded by two δ-wells or δ-barriers depending on the values of the ordering parameter β. The results for bound states of this new solvable model are provided for a wide variation of the parameters. © 2006 IOP Publishing Ltd.

Journal of Physics A: Mathematical and General

A new effective mass Hamiltonian and associated LamÃ© equation: Bound states

By using the point canonical transformation approach in a manner distinct from previous ones, we generate some new exactly solvable or quasi-exactly solvable potentials for the one-dimensional Schrödinger equation with a position-dependent effective mass. In the latter case, SUSYQM techniques provide us with some additional new potentials. © EDP Sciences.

Europhysics Letters

New approach to (quasi-)exactly solvable SchrÃ¶dinger equations with a position-dependent effective mass

Effective-mass SchrÃ¶dinger equation and generation of solvable potentials

Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

Physics Letters A

Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential

EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS

Physical Review A

Solutions of the nonrelativistic wave equation with position-dependent effective mass

Journal	Czechoslovak Journal of Physics
Publisher	-
ISSN	0011-4626
Open Access	Yes