The Schrödinger equations which are solvable in terms of associated special func-tions are directly related to some operators defined in the theory of hypergeometric type equations. The fundamental formulae occurring in a supersymmetric approach to these Hamil-tonians or in theory of coherent states are consequences of some formulae concerning the general theory of associated special functions. We use this connection in order to obtain a general theory of Schrödinger equations solvable in terms of associated special functions, and to extend certain results known in the case of some particular potentials. a0a
We study symmetry properties of the Schrödinger equation with the potential as a new dependent vari...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
The Fourier transform, the quantum mechanical harmonic oscillator, and supersymmetric quantum mechan...
The Schrodinger equations which are exactly solvable in terms of associated special functions are di...
Abstract. The Schrödinger equations which are exactly solvable in terms of associated special funct...
The classical orthogonal polynomials are usually defined as particular solutions of some hypergeomet...
We construct an explicit relation between propagators of generalized Schrödinger equations that are ...
Abstract. We describe a certain “self-similar ” family of solutions to the free Schrödinger equatio...
By using the Pekeris approximation type, the Schrödinger equation is solved for the interaction of ...
Abstract. Building on work on Miura’s transformation by Kappeler, Perry, Shubin, and Topalov, we dev...
Abstract. Building on work on Miura’s transformation by Kappeler, Perry, Shubin, and Topalov, we dev...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Abstract: The bound state solution of the Schrödinger equation with the hyperbolical potential is ob...
As a sequel to the foregoing paper, types of the Schroedinger equation soluble in terms of hypergeom...
We review recent results on how to extend the supersymmetry SUSY normalism in Quantum Mechanics to l...
We study symmetry properties of the Schrödinger equation with the potential as a new dependent vari...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
The Fourier transform, the quantum mechanical harmonic oscillator, and supersymmetric quantum mechan...
The Schrodinger equations which are exactly solvable in terms of associated special functions are di...
Abstract. The Schrödinger equations which are exactly solvable in terms of associated special funct...
The classical orthogonal polynomials are usually defined as particular solutions of some hypergeomet...
We construct an explicit relation between propagators of generalized Schrödinger equations that are ...
Abstract. We describe a certain “self-similar ” family of solutions to the free Schrödinger equatio...
By using the Pekeris approximation type, the Schrödinger equation is solved for the interaction of ...
Abstract. Building on work on Miura’s transformation by Kappeler, Perry, Shubin, and Topalov, we dev...
Abstract. Building on work on Miura’s transformation by Kappeler, Perry, Shubin, and Topalov, we dev...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Abstract: The bound state solution of the Schrödinger equation with the hyperbolical potential is ob...
As a sequel to the foregoing paper, types of the Schroedinger equation soluble in terms of hypergeom...
We review recent results on how to extend the supersymmetry SUSY normalism in Quantum Mechanics to l...
We study symmetry properties of the Schrödinger equation with the potential as a new dependent vari...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
The Fourier transform, the quantum mechanical harmonic oscillator, and supersymmetric quantum mechan...