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On a pair of difference equations for the 4F3 type orthogonal polynomials and related exactly-solvable quantum systems
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- Journal Article
- A1
- open access
Deformed su (1,1) algebra as a model for quantum oscillators
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Explicit representations of classical Lie superalgebras in a Gelfand-Zetlin basis
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- Journal Article
- A1
- open access
The su(2)α Hahn oscillator and a discrete Fourier-Hahn transform
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- Journal Article
- A1
- open access
Finite oscillator models : the Hahn oscillator
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- Journal Article
- A1
- open access
An exactly solvable spin chain related to Hahn polynomials
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- Journal Article
- A1
- open access
Gel'fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra gl(m/n)
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- Journal Article
- A1
- open access
Paraboson coherent states
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- Journal Article
- A1
- open access
Parabosons, parafermions, and explicit representations of infinite-dimensional algebras
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Finite-dimensional solutions of coupled harmonic oscillator quantum systems
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Representations of the Lie superalgebras gl(1|n) and Wigner quantum oscillators
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Parafermions, parabosons and representations of so(infinity) and osp(1|infinity)
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Representations of the orthosymplectic Lie superalgebra osp(1/4) and paraboson coherent states
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Algebraic generalization of quantum statistics
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A linear chain of interacting harmonic oscillators: solutions as a Wigner Quantum System
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Harmonic oscillator chains as Wigner quantum systems: Periodic and fixed wall boundary conditions in gl(1 vertical bar n) solutions
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The paraboson Fock space and unitary irreducible representations of the Lie superalgebra osp(1 vertical bar 2n)
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Unitary representations of the Lie superalgebra osp(1|2n) and parabosons
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A class of unitary irreducible representations of the Lie superalgebra osp(1|2n)
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The parafermion Fock space and explicit so(2n+1) representations
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Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
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On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra gl(1 vertical bar n) and applications
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Lie superalgebraic framework for generalization of quantum statistics
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Harmonic oscillators coupled by springs: Discrete solutions as a Wigner quantum system
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Representations of the Lie superalgebra gl(1 vertical bar n) in a Gel'fand-Zetlin basis and Wigner quantum oscillators
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The N-particle Wigner Quantum Oscillator: non-commutative coordinates and physical properties
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Lie algebraic generalization of quantum statistics
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Fundamental Fermions fit inside one su(1 vertical bar 5) irreducible representation
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A classification of generalized quantum statistics associated with basic classical Lie superalgebras
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Solutions of the compatibility conditions for a Wigner quantum oscillator
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A classification of generalized quantum statistics associated with classical Lie algebras
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On the N-particle Wigner Quantum Oscillator: Non-commutative coordinates and particle localisation
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On the n-Particle Wigner Quantum Oscillator: Noncommutative Coordinates and Particle Localisation
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The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
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A non-commutative n-particle 3D Wigner quantum oscillator
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Microscopic and macroscopic properties of A-superstatistics
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Jacobson generators of (quantum) sl(n+1|m). Related statistics.
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Deformed Jacobson generators of the algebra U_q[sl(n+1)] and their Fock representations.
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Jacobson generators of the quantum superalgebra U-q[sl(n+1 vertical bar m)] and Fock representations.
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Fock representations of the superalgebra sl(n+1 vertical bar m), its quantum analogue U-q[sl(n+1 vertical bar m)] and related quantum statistics.
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A new description of the quantum superalgebra Uq[sl(n+1|m)] and related Fock representations.
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WIGNER QUANTUM OSCILLATORS.
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Finite-dimensional representations of the quantum superalgebra Uq[gl(m/n)] and related q-identities.
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FINITE-DIMENSIONAL REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA UQ[GL(3/2)] IN A REDUCED UQ[GL(3/2)] SUPERSET-OF UQ[GL(3/1)] SUPERSET-OF UQ[QL(3)] BASIS.