41 citations · 137 across the 35 of their papers we have counts for
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Linear representations of SU(2) described by using Kravchuk polynomials
Nicolae Cotfas
We show that a new unitary transform with characteristics almost similar to those of the finite Fourier transform can be defined in any finite-dimensional Hilbert space. It is defi…
Gaussian type functions defined on a finite set and finite oscillators
Nicolae Cotfas
The mathematical description of the quantum harmonic oscillator is essentially based on the Gaussian function. In the case of a quantum oscillator with finite-dimensional Hilbert s…
Finite oscillator obtained through finite frame quantization
Nicolae Cotfas, Daniela Dragoman
The Hamiltonian of the harmonic oscillator is usually defined as a differential operator, but an integral representation can be obtained by using the coherent state quantization. T…
Properties of finite Gaussians and the discrete-continuous transition
Nicolae Cotfas, Daniela Dragoman
Weyl's formulation of quantum mechanics opened the possibility of studying the dynamics of quantum systems both in infinite-dimensional and finite-dimensional systems. Based on Wey…
Algorithm for generating new explicitly solvable Schrodinger type equations
Nicolae Cotfas, Liviu Adrian Cotfas
In this note we present an algorithm to generate new Schr\" odinger type equations explicitly solvable in terms of orthogonal polynomials or associated special functions.
Hypergeometric type operators and their supersymmetric partners
Nicolae Cotfas, Liviu Adrian Cotfas
The generalization of the factorization method performed by Mielnik [J. Math. Phys. {\bf 25}, 3387 (1984)] opened new ways to generate exactly solvable potentials in quantum mechan…