The relativistic linear singular oscillator

The Relativistic Linear Singular Oscillator

Exactly-solvable model of the linear singular oscillator in the relativistic configurational space is considered. We have found wavefunctions and energy spectrum for the model under study. It is shown that they have correct non-relativistic limits. PACS numbers: 02.70.Bf, 03.65.Ca, 03.65.Pm Submitted to: J. Phys. A: Math. Gen.

Singular constrained linear systems

In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...

Relativistic oscillator of constant period.

Geometric Models of the Classical Relativistic Oscillator

It is shown that in the general relativity many static metrics are able to simulate the oscillatory motion. The general form of these metrics is established and it is pointed out that these depend on two arbitrary real parameters which determine the characteristics of each model. Their properties as well as the main new relativistic effects are discussed.

Four-dimensional double singular oscillator

The Schrödinger equation for the four-dimensional double singular oscillator is separable in Eulerian, doble polar and spheroidal coordinates in IR. It is shown that the coefficients for the expansion of double polar basis in terms of the Eulerian basis can be expressed through the Clebsch-Gordan coefficients of the group SU(2) analytically continued to real values of their arguments. The coeff...