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6 papers · 1 filter
Parity violating effects in an exotic perturbation of the rigid rotator
A. Pallares Rivera, M. Kirchbach
The perturbation of the free rigid rotator by the trigonometric Scarf potential is shown to conserve its energy excitation patterns and change only the wave functions towards spher…
Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials
Gabriel Gonzalez
The problem of a particle localized in a ultra-short potential in one dimension is considered. By proposing a general solution to Schrodinger;s equation we show that the energy spe…
Romanovski polynomials in selected physics problems
A. P. Raposo, H. J. Weber, D. Alvarez-Castillo +1
We briefly review the five possible real polynomial solutions of hypergeometric differential equations. Three of them are the well known classical orthogonal polynomials, but the o…
Euclidean resonance in a magnetic field
B. Ivlev
An analogy between Wigner resonant tunneling and tunneling across a static potential barrier in a static magnetic field is found. Whereas in the process of Wigner tunneling an elec…
The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum Mechanics and its Exact Solutions
C. B. Compean, M. Kirchbach
The analytic solutions of the one-dimensional Schroedinger equation for the trigonometric Rosen-Morse potential reported in the literature rely upon the Jacobi polynomials with com…
Euclidean Resonance: Application to Physical and Chemical Experiments
B. Ivlev
The phenomenon of Euclidean resonance (a strong enhancement of quantum tunneling through a nonstationary potential barrier) is applied to disintegration of atoms and molecules thro…