Rosen–Morse Potential and Its Supersymmetric Partners

Abstract

A set of supersymmetric partners of the Rosen-Morse potential is generated. The corresponding physical properties are studied-in particular, the change in intensity of the singularities at the boundaries of the domain.

Mapping of two-dimensional Schrödinger equation under the point transformation

“…The asymptotical condition (16) is also satisfied. For illustration, the mass function M ( y), the singular potential (38) and three lowest wave functions Ψ 0,0 , Ψ 1,0 and Ψ 0,1 are given in Figures 6-10 for some values of parameters. (37) with potential (38) for Example III (case 2) with a = 1/8 and…”

“…Taking into account Eqs. (42), the initial potential V ( x) can be taken as a combination of solvable one-dimensional potentials of Morse and trigonometrical Rosen-Morse models [37], [38]:…”

“…with positive constants A, B, C, λ. The resulting potential U ( y) does not allow (for b = 0) the separation of variables, but nevertheless the solution of corresponding Schrödinger equation is expressed through solutions of one-dimensional problems with V 1 , V 2 , which are known analytically [37], [38].…”

Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method

“…There are many methods for solving Schrodinger equation, i.e. perturbation theory [1], the variational method [1], and the WKB method [1], Supersymmetry quantum mechanics [2]- [6], Nikivorov-Uvarov method [7]- [9], Romanovski polynomials in quantum mechanics [10]- [12], etc. [12]- [23].…”

Supersymmetric Model of ρ-Meson Propagator in Quark-Gluon Plasma

“…Therefore, we should formulate supersymmetric version of ρ-meson propagation model. The subject of supersymmetry is one of the important field of theoretical physics [19][20][21][22]. Advantages of supersymmetry is that leads to unification of gauge couplings.…”