Results 151 to 160 of about 303 (182)

Generalized Heisenberg-Virasoro algebras

Frontiers of Mathematics in China, 2009
The authors introduce the generalized Heisenberg-Virasoro algebra, which is a generalization of the twisted Heisenberg-Virasoro Lie algebra \(H_{\text{Vir}}\) from the integer ring \(\mathbb Z\) to an additive subgroup \(M\) of a field \(\mathbb F\). For the exact definition see Section 2 (Definition 1) of the paper.
Linsheng Zhu
exaly   +2 more sources

New irreducible modules for Heisenberg and affine Lie algebras [PDF]

Journal of Algebra, 2013
We study Z-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac–Moody Lie algebras.
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny   +2 more
exaly   +2 more sources

Generalized Heisenberg Algebras: periodicity and finite representation

Physica Scripta, 2020
Abdessamad Belfakir, Yassine Hassouni
exaly   +2 more sources

Generalized Heisenberg Algebras and Toroidal Lie Algebras

Algebra Colloquium, 2010
In this article we provide two kinds of infinite presentations of toroidal Lie algebras. At first we define generalized Heisenberg algebras and prove that each toroidal Lie algebra is an amalgamation of a simple Lie algebra and a generalized Heisenberg algebra in the sense of Saito and Yoshii. This is one kind of presentations of toroidal Lie algebras
Fang, Yingjue, Peng, Liangang
openaire   +2 more sources

Regular Representations of the Generalized Heisenberg Algebra

Theoretical and Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vernov, Yu. S., Mnatsakanova, M. N.
openaire   +2 more sources

Generalized Heisenberg Algebra Coherent States for Nonharmonic Oscillators

International Journal of Theoretical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Rajhi, M. A., Abdel-Khalek, S.
openaire   +2 more sources

General Deformation Scheme of Heisenberg-Weyl Algebra

Communications in Theoretical Physics, 1997
General deformation schemes for both bosonic and fermionic algebras of harmonic oscillator are studied in terms of explicit matrix representations of basic operators and a restriction relation for deformation function is discussed.
He-Shan Song, Mill Zhang, Ying An
openaire   +1 more source

Generalized Heisenberg algebra: application to the harmonic oscillator

Journal of Physics A: Mathematical and Theoretical, 2007
The deformed Poisson algebra recently introduced to investigate integrable systems (2003 J. Phys. A: Math. Gen.36 12181–203, 2005 J. Math. Phys.46 042702) is used to perform the transition from the phase space of classical observables (functions depending on positions and momentums) to the Hilbert space of physically well-defined Hermitian operators. A
M N Hounkonnou, E B Ngompe Nkouankam
openaire   +1 more source

Generalized Heisenberg algebra and algebraic method: The example of an infinite square-well potential

Physics Letters A, 2008
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Curado, E. M. F., Hassouni, Y., Rego-Monteiro, M. A., Rodrigues, Ligia M. C. S.   +3 more
openaire   +1 more source