The algebra of Weyl symmetrised polynomials and its quantum extension

I. M. Gel'fand, D. B. Fairlie

Type: Article

Publication Date: 1991-03-01

Citations: 58

DOI: https://doi.org/10.1007/bf02099070

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Weyl–Wigner formulation of noncommutative quantum mechanics	2008	Catarina Bastos Orfeu Bertolami Nuno Costa Dias João Nuno Prata
+ PDF Chat	q -deformed star products and Moyal brackets	1998	Omer Faruk Dayi
+	A $q$-deformed Heisenberg algebra as a normed space	2018	Rafael Reno S. Cantuba
+	Phase Space Quantum Mechanics	2010	Maciej Błaszak Ziemowit Domański
+	Phase Space Quantum Mechanics	2010	Maciej Błaszak Ziemowit Domański
+	A unified representation of the q-oscillator and the q-plane	2000	T. Rador
+	A unified representation of the q-oscillator and the q-plane	2000	T. Rador
+ PDF Chat	A comparative review of four formulations of noncommutative quantum mechanics	2016	Laure Gouba
+ PDF Chat	Hilbert space representation of an algebra of observables forq-deformed relativistic quantum mechanics	1995	W. Zippold
+ PDF Chat	A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance	1997	Michèle Irac-Astaud
+	Weyl algebras for quantum homogeneous spaces	2022	Gail Letzter Siddhartha Sahi Hadi Salmasian
+	On (p, q; α, β, l)-deformed oscillators and their oscillator algebras	2006	Igor Burban
+	The algebra of spinors and its applications to quantum mechanics.	1978	W. D. Thacker
+ PDF Chat	Nonstandard Deformed Oscillators from q- and p,q-Deformations of Heisenberg Algebra	2016	A. M. Gavrilik І. І. Качурик
+	Symmetric quantum Weyl algebras	2003	Rafael Díaz Eddy Pariguán
+	A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative	2005	Sicong Jing Sergei Silvestrov
+	Q-Deformed determinants and a unified realization of boson, fermion and quon algebras	1995	Zhaoyan Wu
+	Lie polynomials in an algebra defined by a linearly twisted commutation relation	2018	Rafael Reno S. Cantuba
+ PDF Chat	Lie polynomials in an algebra defined by a linearly twisted commutation relation	2021	Rafael Reno S. Cantuba
+ PDF Chat	GEOMETRY OF DEFORMED BOSON ALGEBRAS	1996	Patrick Crehan Tin-Lun Ho

Works That Cite This (48)

Action	Title	Year	Authors
+ PDF Chat	W ∞ -covariance of the Weyl–Wigner–Groenewold–Moyal quantization	1997	Tekin Dereli A. Verçin
+	Special functions and 𝑞-commuting variables	1997	Tom H. Koornwinder
+	Extensions and contractions of the Lie algebra of q-pseudodifferential symbols	1994	Boris Khesin Volodymyr Lyubashenko Claude Roger
+ PDF Chat	Quantum Heisenberg groups and sklyanin algebras	1994	Nicol�s Andruskiewitsch Jorge A. Devoto Alejandro Tiraboschi
+	Representations at a Root of Unity of q-Oscillators and Quantum Kac-Moody algebras	1994	Jens-U. H. Petersen
+ PDF Chat	q -deformed star products and Moyal brackets	1998	Omer Faruk Dayi
+	R-commutative geometry and quantization of Poisson algebras	1992	John C. Baez
+	None	1999	Paulius Miškinis
+ PDF Chat	Dirac operator on the q-deformed fuzzy sphere and its spectrum	2006	E. Harikumar Amilcar R. de Queiroz Paulo Teotonio-Sobrinho
+	Regular Solutions of the Shabat Equation	1999	Yunkang Liu

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	Some remarks on Koszul algebras and quantum groups	1987	Yu. I. Manin
+	W∞ and the Racah-Wigner algebra	1990	C.N. Pope Xiaorong Shen L.J. Romans
+	Deformation theory and quantization. II. Physical applications	1978	F. Bayen M. Flato C. Frønsdal André Lichnerowicz Daniel Sternheimer
+	Trigonometric structure constants for new infinite-dimensional algebras	1989	D. B. Fairlie P. Thomas Fletcher Cosmas Zachos
+	On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>	1989	Alan Macfarlane
+	The Structure of the Woo Algebra	1990	Ioannis Bakas