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pro vyhledávání: '"Palev, T. D."'
Autor:
Palev, T. D.
We recall the definitions of a Wigner quantum system (WQS) and of A-, (resp B-, C- and D-) quantum (super)statistics. We outline shortly the relation of these new statistics to the classes A, (resp B, C and D) of Lie (super)algebras. We describe in s
Externí odkaz:
http://arxiv.org/abs/1412.4335
Autor:
Palev, T. D.
It is shown that the statistics of the hardcore fermions is A-superstatistics of order one [see T.D.P. J. Math. Phys. 21, 1293 (1980)]. The Pauli principle for these particles is formulated. The Hubbard operators, which constitute a basis in the Lie
Externí odkaz:
http://arxiv.org/abs/0712.2736
Autor:
Palev, T. D.
A system of $N$ non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical commutation relations (CCRs). Instead they obey the weaker postulates
Externí odkaz:
http://arxiv.org/abs/hep-th/0601201
Publikováno v:
J.Phys.A36:11999-12019,2003
An n-particle 3-dimensional Wigner quantum oscillator model is constructed explicitly. It is non-canonical in that the usual coordinate and linear momentum commutation relations are abandoned in favour of Wigner's suggestion that Hamilton's equations
Externí odkaz:
http://arxiv.org/abs/hep-th/0310016
Publikováno v:
J.Phys.A36:7093-7112,2003
The microscopic and the macroscopic properties of A-superstatistics, related to the class A(0,n-1)\equiv sl(1|n) of simple Lie superalgebras are investigated. The algebra sl(1|n) is described in terms of generators f_1^\pm, >..., f_n^\pm, which satis
Externí odkaz:
http://arxiv.org/abs/math-ph/0306032
Publikováno v:
J.Phys.A36:4337-4362,2003
The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more t
Externí odkaz:
http://arxiv.org/abs/hep-th/0304136
Publikováno v:
J.Phys.A35:9367-9380,2002
It is shown that the Clifford superalgebra Cl(n|m) generated by m pairs of Bose operators (odd elements) anticommuting with n pairs of Fermi operators (even elements) can be deformed to Cl_q(n|m) such that the latter is a homomorphic image of the qua
Externí odkaz:
http://arxiv.org/abs/math/0210340
The properties of a noncanonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more th
Externí odkaz:
http://arxiv.org/abs/hep-th/0210164
Publikováno v:
J.Math.Phys. 43 (2002) 1646-1663
As an alternative to Chevalley generators, we introduce Jacobson generators for the quantum superalgebra $U_q[sl(n+1|m)]$. The expressions of all Cartan-Weyl elements of $U_q[sl(n+1|m)]$ in terms of these Jacobson generators become very simple. We de
Externí odkaz:
http://arxiv.org/abs/math/0111289
Autor:
Palev, T. D., Stoilova, N. I.
Publikováno v:
Rept.Math.Phys. 49 (2002) 395-404
We present three groups of examples of Wigner Quantum Systems related to the Lie superalgebras $osp(1/6n)$, $sl(1/3n)$ and $sl(n/3)$ and discuss shortly their physical features. In the case of $sl(1/3n)$ we indicate that the underlying geometry is no
Externí odkaz:
http://arxiv.org/abs/hep-th/0111011