Modern physics letters A, ISSN 0217-7323, 2019, Volume 34, Issue 20, p. 1950160

In this paper, we find the parafermion algebra of order [Formula: see text] 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

HARMONIC-OSCILLATOR | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Parafermion | parasupersymmetry | QUANTIZATION | PHYSICS, MATHEMATICAL | GENERALIZED DEFORMED PARAFERMIONS | PHYSICS, PARTICLES & FIELDS | Algebra

Journal Article

Annals of physics, ISSN 0003-4916, 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

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

Annals of Physics, ISSN 0003-4916, 11/2015, Volume 362, Issue Complete, pp. 24 - 35

In this paper, the deformation of the Heisenberg algebra, consistent with both the generalized uncertainty principle and doubly special relativity, has been analyzed...

Path integral | GUP and DSR | Deformed Heisenberg’s algebra | Deformed Heisenberg's algebra | ACCELERATING UNIVERSE | SPACE | TEMPERATURE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | GENERALIZED UNCERTAINTY PRINCIPLE | PLANCK-SCALE PHYSICS | SUPERNOVAE | QUANTUM-GRAVITY | Algebra | Harmonic analysis | Quantum physics | Physics - High Energy Physics - Theory | UNCERTAINTY PRINCIPLE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | HAMILTONIANS | ONE-DIMENSIONAL CALCULATIONS | PATH INTEGRALS | RELATIVITY THEORY | QUANTIZATION | QUANTUM MECHANICS | PROPAGATOR

Path integral | GUP and DSR | Deformed Heisenberg’s algebra | Deformed Heisenberg's algebra | ACCELERATING UNIVERSE | SPACE | TEMPERATURE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | GENERALIZED UNCERTAINTY PRINCIPLE | PLANCK-SCALE PHYSICS | SUPERNOVAE | QUANTUM-GRAVITY | Algebra | Harmonic analysis | Quantum physics | Physics - High Energy Physics - Theory | UNCERTAINTY PRINCIPLE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | HAMILTONIANS | ONE-DIMENSIONAL CALCULATIONS | PATH INTEGRALS | RELATIVITY THEORY | QUANTIZATION | QUANTUM MECHANICS | PROPAGATOR

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

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

A one-parameter generalized fermion algebra ℬκ(1) is introduced. The Fock representation is studied...

Calogero-Sutherland system | Generalized fermion algebra | coherent states | DEFORMED OSCILLATOR | HARMONIC-OSCILLATOR | ASTRONOMY & ASTROPHYSICS | SUPERSYMMETRIC QUANTUM-MECHANICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Algebra

Calogero-Sutherland system | Generalized fermion algebra | coherent states | DEFORMED OSCILLATOR | HARMONIC-OSCILLATOR | ASTRONOMY & ASTROPHYSICS | SUPERSYMMETRIC QUANTUM-MECHANICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Algebra

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

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

1991, ISBN 0521400961, Volume 41., xi, 219

Book

Journal of High Energy Physics, ISSN 1126-6708, 2/2018, Volume 2018, Issue 2, pp. 1 - 40

Four-dimensional N $$ \mathcal{N} $$ = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra...

Conformal Field Theory | Supersymmetric Gauge Theory | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MONOPOLE HARMONICS | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry | Localization | Surface defects | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal field theory | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | supersymmetry and duality | extended supersymmetry

Conformal Field Theory | Supersymmetric Gauge Theory | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MONOPOLE HARMONICS | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry | Localization | Surface defects | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal field theory | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | supersymmetry and duality | extended supersymmetry

Journal Article

10.
Full Text
Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

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

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

generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS

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

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

Periodica mathematica Hungarica, ISSN 1588-2829, 2016, Volume 75, Issue 1, pp. 1 - 13

Let A and B be Banach algebras, $$\theta : A\rightarrow B$$ θ : A → B be a continuous Banach algebra homomorphism and I be a closed ideal in B...

16E40 | Topological centre | 13B02 | Mathematics, general | Weak amenability | Mathematics | Banach modules | 46H25 | MATHEMATICS | IDEAL | MATHEMATICS, APPLIED | ARENS REGULARITY | DUALS | HARMONIC-ANALYSIS | MORPHISM | LAU PRODUCT | Algebra

16E40 | Topological centre | 13B02 | Mathematics, general | Weak amenability | Mathematics | Banach modules | 46H25 | MATHEMATICS | IDEAL | MATHEMATICS, APPLIED | ARENS REGULARITY | DUALS | HARMONIC-ANALYSIS | MORPHISM | LAU PRODUCT | Algebra

Journal Article

Publications of the Research Institute for Mathematical Sciences, ISSN 0034-5318, 2018, Volume 54, Issue 2, pp. 393 - 410

.... Using these notions, we define and study the Fourier Stieltjes algebra, the Fourier algebra and the algebra of completely bounded multipliers of a rigid C*-tensor category...

Property (T) | Fourier(-stieltjes) algebra | Rigid c-tensor category | Amenability | MATHEMATICS | property (T) | LIE-GROUPS | QUANTUM | Rigid C-tensor category | amenability | Fourier(-Stieltjes) algebra | PROPERTY T

Property (T) | Fourier(-stieltjes) algebra | Rigid c-tensor category | Amenability | MATHEMATICS | property (T) | LIE-GROUPS | QUANTUM | Rigid C-tensor category | amenability | Fourier(-Stieltjes) algebra | PROPERTY T

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 02/2015, Volume 12, Issue 2, pp. 1550022 - 1-1550022-9

In this paper, we will demonstrate that like the existence of a minimum measurable length, the existence of a maximum measurable momentum, also influence all...

Non-local field theory | harmonic extensions of functions | SPACE | GENERALIZED UNCERTAINTY PRINCIPLE | BLACK-HOLE | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | Harmonics | Algebra | Deformation | Quantum mechanics | Quantization | Gages | Gauges | Symmetry

Non-local field theory | harmonic extensions of functions | SPACE | GENERALIZED UNCERTAINTY PRINCIPLE | BLACK-HOLE | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | Harmonics | Algebra | Deformation | Quantum mechanics | Quantization | Gages | Gauges | Symmetry

Journal Article

Computer physics communications, ISSN 0010-4655, 2009, Volume 180, Issue 11, pp. 2143 - 2165

Single scale quantities, as anomalous dimensions and hard scattering cross sections, in renormalizable Quantum Field Theories are found to obey difference...

Harmonic sums | Calculation of 3-loop single scale quantities | Product-and-sum fields | Advanced computer algebra | Difference equations | HYPERGEOMETRIC SOLUTIONS | INELASTIC STRUCTURE FUNCTIONS | OPERATOR MATRIX-ELEMENTS | 3-LOOP SPLITTING FUNCTIONS | FINITE TERMS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HEAVY FLAVOR PRODUCTION | FREE GAUGE-THEORIES | TO-LEADING ORDER | 2ND-ORDER CONTRIBUTIONS | GREATER-THAN M | Algorithms

Harmonic sums | Calculation of 3-loop single scale quantities | Product-and-sum fields | Advanced computer algebra | Difference equations | HYPERGEOMETRIC SOLUTIONS | INELASTIC STRUCTURE FUNCTIONS | OPERATOR MATRIX-ELEMENTS | 3-LOOP SPLITTING FUNCTIONS | FINITE TERMS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HEAVY FLAVOR PRODUCTION | FREE GAUGE-THEORIES | TO-LEADING ORDER | 2ND-ORDER CONTRIBUTIONS | GREATER-THAN M | Algorithms

Journal Article

2019, Springer Undergraduate Texts in Mathematics and Technology, ISBN 3030018113, 381

.... The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses...

eBook

Journal of mathematical physics, ISSN 1089-7658, 2015, Volume 56, Issue 1, p. 012101

Three dimensional Dirac oscillator was considered in space with deformed commutation relations known as Snyder-de Sitter algebra...

INVARIANCE | POSITION | SYMMETRY | SUPERSYMMETRY | HARMONIC-OSCILLATOR | NONZERO MINIMAL UNCERTAINTIES | LENGTH | PLANCK-SCALE | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | EQUATION | Supersymmetry | Deformation | Commutation | Energy spectra | Quantum mechanics | Wave functions | Quantum theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | OSCILLATORS | ALGEBRA | DE SITTER GROUP | DE SITTER SPACE | COMMUTATION RELATIONS | ENERGY SPECTRA | QUANTUM MECHANICS

INVARIANCE | POSITION | SYMMETRY | SUPERSYMMETRY | HARMONIC-OSCILLATOR | NONZERO MINIMAL UNCERTAINTIES | LENGTH | PLANCK-SCALE | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | EQUATION | Supersymmetry | Deformation | Commutation | Energy spectra | Quantum mechanics | Wave functions | Quantum theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | OSCILLATORS | ALGEBRA | DE SITTER GROUP | DE SITTER SPACE | COMMUTATION RELATIONS | ENERGY SPECTRA | QUANTUM MECHANICS

Journal Article

20.
Full Text
The Resolvent Algebra of Non-relativistic Bose Fields: Observables, Dynamics and States

Communications in mathematical physics, ISSN 1432-0916, 2018, Volume 362, Issue 3, pp. 949 - 981

The structure of the gauge invariant (particle number preserving) C*-algebra generated by the resolvents of a non-relativistic Bose field is analyzed...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIMITS | SYSTEMS | PHYSICS, MATHEMATICAL | HARMONIC-ANALYSIS | QUANTUM | Analysis | Algebra

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIMITS | SYSTEMS | PHYSICS, MATHEMATICAL | HARMONIC-ANALYSIS | QUANTUM | Analysis | Algebra

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.