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5 papers · 2 filters
Graded contractions of the Pauli graded sl(3,C)
J. Hrivnak, P. Novotny, J. Patera +1
The Lie algebra $sl(3,\C)$ is considered in the basis of generalized Pauli matrices. Corresponding grading is the Pauli grading here. It is one of the four gradings of the algebra…
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…
Coherent and squeezed states of quantum Heisenberg algebras
Nibaldo Alvarez-Moraga
Starting from deformed quantum Heisenberg Lie algebras some realizations are given in terms of the usual creation and annihilation operators of the standard harmonic oscillator. Th…