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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…
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Keywords:
formula quasinormal;
schl teller;
sitter;
near extreme ... See more keywords
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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…
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Keywords:
bound states;
teller square;
potential wells;
square potential ... See more keywords
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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…
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Keywords:
schl teller;
hyperbolic schl;
trigonometric hyperbolic;
states generalized ... See more keywords