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   Articles with "schl teller" as a keyword



m-step rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials

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recommendations! Published in 2024 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0241935

Abstract: A previous construction of regular rational extensions of the trigonometric Darboux-Pöschl-Teller potential, obtained by one-step Darboux transformations using seed functions associated with the para-Jacobi polynomials of Calogero and Yi, is generalized by considering m-step Darboux… read more here.

Keywords: darboux schl; schl teller; extensions trigonometric; darboux ... See more keywords

Feynman propagator and approximate solutions for the hyperbolic Pöschl–Teller potential with generalized Dunkl derivative

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recommendations! Published in 2025 at "Physica Scripta"

DOI: 10.1088/1402-4896/adbfcc

Abstract: We present an analytical treatment of the path integral formalism for the propagator of the hyperbolic Pöschl-Teller (HPT) potential within a three-parameter generalization of the Dunkl derivative framework. This formulation is achieved using a Pekeris-type… read more here.

Keywords: propagator; schl teller; dunkl derivative; generalized dunkl ... See more keywords

Analytic formula for quasinormal modes in the near-extreme Kerr-Newman–de Sitter spacetime governed by a non-Pöschl-Teller potential

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recommendations! Published in 2022 at "Physical Review D"

DOI: 10.1103/physrevd.105.084003

Abstract: Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed in analytic form as eigenvalues of the Pöschl-Teller wavelike equation. We show that perturbations of fermionic… read more here.

Keywords: formula quasinormal; schl teller; sitter; near extreme ... See more keywords

Bound-states spectrum of the nonlinear Schrödinger equation with Pöschl-Teller and square-potential wells.

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recommendations! Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.106.024206

Abstract: We obtain the spectrum of bound states for modified Pöschl-Teller and square-potential wells in the nonlinear Schrödinger equation. For a fixed norm of bound states, the spectrum for both potentials turns out to consist of… read more here.

Keywords: bound states; teller square; potential wells; square potential ... See more keywords

Bound states for generalized trigonometric and hyperbolic Pöschl–Teller potentials

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recommendations! Published in 2022 at "International Journal of Modern Physics A"

DOI: 10.1142/s0217751x22500129

Abstract: We use the “tridiagonal representation approach” to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic Pöschl–Teller potentials. These new solvable potentials do not belong to the… read more here.

Keywords: schl teller; hyperbolic schl; trigonometric hyperbolic; states generalized ... See more keywords