68 citations · 765 across the 90 of their papers we have counts for
7 papers · 1 filter
Pseudo-Gaussian quantum models
Ion I. Cotaescu
A new family of one-dimensional quantum models is proposed in terms of new potentials with a Gaussian asymptotic behavior but approaching to the potential of the harmonic o scillat…
Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics
Ion I. Cotăescu, Sergiu Moroianu, Mihai Visinescu
The gravitational anomalies are investigated for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem.…
Generalized "bra-ket" formalism
Ion I. Cotaescu
The Dirac's bra-ket formalism is generalized to finite-dimensional vector spaces with indefinite metric in a simple mathematical context similar to thatof the theory of general ten…
The Operator Algebra of the Quantum Relativistic Oscillator
Ion I. Cotăescu, Gheorghe Draganescu
The operator algebras of a new family of relativistic geometric models of the relativistic oscillator are studied. It is shown that, generally, the operator of number of quanta and…
The Supersymmetry of Relativistic Poschl-Teller Systems
Ion I. Cotăescu
We analyze the supersymmetry and the shape invariance of the potentials of the (1+1) relativistic oscillators we have recently proposed.
Geometric Models of the Relativistic Harmonic Oscillator
Ion I. Cot{\u}aescu
A family of relativistic geometric models is defined as a generalization of the actual anti-de Sitter (1+1) model of the relativistic harmonic oscillator. It is shown that all thes…