The Schrodinger equations which are exactly solvable in terms of associated special functions are directly related to some self-adjoint operators defined in the theory of hypergeometric type equations. The fundamental formulae occurring in a supersymmetric approach to these Hamiltonians 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 Schrodinger equations exactly solvable in terms of associated special functions, and to extend certain results known in the case of some particular potentials
In a previous paper, we used a classification of the self adjoint extensions, also called self-adjoi...
We obtain exact solutions of the one-dimensional Schrodinger equation for some families of associate...
The simple supersymmetric approach recently used by Dutt, Gangopadhyaya, and Sukhatme [Am.J.Phys. 65...
The Schrödinger equations which are solvable in terms of associated special func-tions are directly...
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...
The Fourier transform, the quantum mechanical harmonic oscillator, and supersymmetric quantum mechan...
As a sequel to the foregoing paper, types of the Schroedinger equation soluble in terms of hypergeom...
It is well known that the harmonic oscillator potential can be solved by using raising and lowering ...
The Hamiltonian in Supersymmetric Quantum Mechanics is defined in terms of charges that obey the sam...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Three dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has bee...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
The general structure of the Hamiltonian hierarchy of the pseudo-Coulomb and pseudo-Harmonic potenti...
Inclusive of well-known potentials, parabolic and Morse potentials, potentials for which Schroedinge...
In a previous paper, we used a classification of the self adjoint extensions, also called self-adjoi...
We obtain exact solutions of the one-dimensional Schrodinger equation for some families of associate...
The simple supersymmetric approach recently used by Dutt, Gangopadhyaya, and Sukhatme [Am.J.Phys. 65...
The Schrödinger equations which are solvable in terms of associated special func-tions are directly...
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...
The Fourier transform, the quantum mechanical harmonic oscillator, and supersymmetric quantum mechan...
As a sequel to the foregoing paper, types of the Schroedinger equation soluble in terms of hypergeom...
It is well known that the harmonic oscillator potential can be solved by using raising and lowering ...
The Hamiltonian in Supersymmetric Quantum Mechanics is defined in terms of charges that obey the sam...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Three dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has bee...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
The general structure of the Hamiltonian hierarchy of the pseudo-Coulomb and pseudo-Harmonic potenti...
Inclusive of well-known potentials, parabolic and Morse potentials, potentials for which Schroedinge...
In a previous paper, we used a classification of the self adjoint extensions, also called self-adjoi...
We obtain exact solutions of the one-dimensional Schrodinger equation for some families of associate...
The simple supersymmetric approach recently used by Dutt, Gangopadhyaya, and Sukhatme [Am.J.Phys. 65...