17 citations · 25 across the 3 of their papers we have counts for
4 papers
sh(2/2) Superalgebra eigenstates and generalized supercoherent and supersqueezed states
Nibaldo Alvarez-Moraga, Veronique Hussin
The superalgebra eigenstates (SAES) concept is introduced and then applied to find the SAES associated to the superalgebra, also known as Heisenberg--Weyl Lie superalgebr…
Invariant vector fields and the prolongation method for supersymmetric quantum systems
Nibaldo Alvarez-Moraga, Veronique Hussin
The kinematical and dynamical symmetries of equations describing the time evolution of quantum systems like the supersymmetric harmonic oscillator in one space dimension and the in…
Generalized coherent and squeezed states based on the algebra
Nibaldo Alvarez-Moraga, Veronique Hussin
States which minimize the Schrödinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The rela…
Polynomial Heisenberg algebras and higher order supersymmetry
David J. Fernandez C., Veronique Hussin
It is shown that the higher order supersymmetric partners of the harmonic oscillator Hamiltonian provide the simplest non-trivial realizations of the polynomial Heisenberg algebras…