The concept of boson realization (or map**) of Lie algebras appeared first in nuclear
physics in 1962 as the idea of expanding bilinear forms in fermion creation and annihilation …

A new ring-shaped potential, obtained by replacing the Coulomb part of the Hartmann
potential by a harmonic oscillator term, is investigated. The Schrodinger equation is solved …

A finite two-dimensional oscillator is built as the direct product of two finite one-dimensional
oscillators, using the dynamical Lie algebra su (2) x⊕ su (2) y. The position space in this …

The well-known difficulties of defining a phase operator of an oscillator, caused by the lower
bound on the number operator, is overcome by enlarging the physical Hilbert space by …

We develop a statistical theory describing quantum-mechanical scattering of a particle by a
cavity when the geometry is such that the classical dynamics is chaotic. This picture is …

Finite oscillator models obey the same dynamics as the classical and quantum oscillators,
but the operators corresponding to position, momentum, Hamiltonian, and angular …

We introduce a formalism for the calculation of the time of arrival t at a space point for
particles traveling through interacting media. We develop a general formulation that employs …

In the present paper, we introduce partially coherent states for the positive discrete series
irreducible representations< λ d+ n/2,..., λ1+ n/2> of Sp (2 d, R), encountered in physical …

The principles of gauge symmetry and quantization are fundamental to modern
understanding of the laws of electromagnetism, weak and strong subatomic forces and the …

The lower bound on a continuous energy spectrum suffices t⊙ mathematically preclude the
construction of a hermitian time operator canonically conjugate to the Hamiltonian. This …