68 citations · 765 across the 90 of their papers we have counts for
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A new class of (3+1) quantum geometric models
Ion I. Cotaescu
A new family of analytically solvable quantum geometric models is proposed. The structure of the energy spectra as well as the form of the corresponding eigenfunctions are presente…
The Dirac equation in Cartesian gauge
Ion I. Cotaescu
It is shown that in the case of the spherically symmetric static backgrounds there is a gauge in which the Dirac equation is manifestly covariant under rotations. This allows us to…
Classical Oscilators in General Relativity
Ion I. Cotaescu, Dumitru N. Vulcanov
It is shown that in general relativity some static metrics are able to simulate oscillatory motions. Their form depends on two arbitrary real parameters which determine the specifi…
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…
Geometric Models of the Quantum Relativistic Rotating Oscillator
Ion I. Cotăescu
A family of geometric models of quantum relativistic rotating oscillator is defined by using a set of one-parameter deformations of the static (3+1) de Sitter or anti-de Sitter met…