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Journal of Fourier Analysis and Applications, ISSN 1069-5869, 12/2018, Volume 24, Issue 6, pp. 1579 - 1660
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 06/2019, Volume 34, Issue 20, p. 1950160
In this paper, we find the parafermion algebra of order p expressed in terms of bilinear relation (commutator form... 
HARMONIC-OSCILLATOR | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Parafermion | parasupersymmetry | QUANTIZATION | PHYSICS, MATHEMATICAL | GENERALIZED DEFORMED PARAFERMIONS | PHYSICS, PARTICLES & FIELDS | Algebra
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2019, Volume 480, Issue 1, p. 123357
.... Furthermore, we introduce q-Schrödinger operators and we give the raising and lowering operator algebra corresponding to these polynomials... 
q-orthogonal polynomials | q-deformed algebras | Harmonic oscillators | MATHEMATICS | MATHEMATICS, APPLIED | PARABOSE
Journal Article
Annals of Physics, ISSN 0003-4916, 10/2017, Volume 385, pp. 180 - 213
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are... 
Quantization | Displacement operator | Lie algebra | Quaternion | Coherent states | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | Algebra | Computer science | HILBERT SPACE | UNCERTAINTY PRINCIPLE | HARMONIC OSCILLATORS | POSITION OPERATORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | LIE GROUPS
Journal Article
1971, Lecture notes in mathematics, ISBN 0387056513, Volume 231, ix, 112, [1]
Book
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 12/2012, Volume 86, Issue 6
...) and suggest the existence of a fundamental minimal length which, as was established, can be obtained within the deformed Heisenberg algebra... 
SPACE | UNCERTAINTY | POSITION | OPTICS | HARMONIC-OSCILLATOR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 03/2014, Volume 29, Issue 9, p. 1450045
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2019, Volume 60, Issue 1, p. 11701
The Racah algebra and its higher rank extension are the algebras underlying the univariate and multivariate Racah polynomials... 
COHERENT STATES | HAHN POLYNOMIALS | HARMONICS | ADDITION THEOREM | PHYSICS, MATHEMATICAL | SUPERINTEGRABLE SYSTEM | Operators (mathematics) | Polynomials | Algebra | Basis functions | Differential equations
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 08/2018, Volume 33, Issue 25, p. 1850146
In this work, we study the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra... 
Wigner-Dunkl algebra | the Dirac equation | the reflection symmetry | Dirac harmonic oscillator | Q-ANALOG | REFLECTION GROUPS | QUANTUM | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | NUCLEI | ASTRONOMY & ASTROPHYSICS | OPERATORS | PHYSICS, PARTICLES & FIELDS
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 11/2019, Volume 34, Issue 31, p. 1950196
.... Such relations help us achieve the generalized s l ( 2 ) algebra and some suitable results for describing the above-mentioned symmetry... 
generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal d'Analyse Mathématique, ISSN 0021-7670, 10/2017, Volume 133, Issue 1, pp. 51 - 69
We present necessary and sufficient conditions on planar compacta K and continuous functions f on K in order that f generate the algebras P(K), R(K), A(K) or C(K... 
Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | MATHEMATICS | Algebra | Polynomials | Logarithms | Mathematical analysis | Continuity (mathematics)
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 09/2018, Volume 17, Issue 9
Let A and A be Banach algebras such that A is a Banach A-bimodule with compatible actions... 
Banach module | extensions | multiplier | (cyclic) derivation | Banach algebras | topological center | (maximal) ideals | MATHEMATICS, APPLIED | AMENABILITY | WEAK | MATHEMATICS | IDEAL | DUALS | MODULES | PRODUCTS | HARMONIC-ANALYSIS | RING
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 11/2017, Volume 2017, Issue 11, p. 113104
Results obtained in the past for free boson systems at zero and nonzero temperatures are revisited to clarify the physical meaning of current algebra reducible functionals which are associated... 
Hubbard and related model | algebraic structures of integrable models | CONFIGURATION-SPACE | MECHANICS | REPRESENTATIONS | FIELD-THEORY | MANY-BODY PROBLEM | HARMONIC-ANALYSIS | HAMILTONIANS | PHYSICS, MATHEMATICAL | GEOMETRY
Journal Article