Orbital magnetism of a two-dimensional noncommutative confined system
A Jellal - Journal of Physics A: Mathematical and General, 2001 - iopscience.iop.org
We study a system of spinless electrons moving in a two-dimensional noncommutative
space subject to a perpendicular magnetic field vec B and confined by a harmonic potential …
space subject to a perpendicular magnetic field vec B and confined by a harmonic potential …
Many-body Wigner quantum systems
TD Palev, NI Stoilova - Journal of Mathematical Physics, 1997 - pubs.aip.org
We present examples of many-body Wigner quantum systems. The position and the
momentum operators RA and PA, A 1,..., n 1, of the particles are noncanonical and are …
momentum operators RA and PA, A 1,..., n 1, of the particles are noncanonical and are …
Harmonic oscillator chains as Wigner quantum systems: periodic and fixed wall boundary conditions in gl (1| n) solutions
S Lievens, NI Stoilova, J Van der Jeugt - Journal of mathematical …, 2008 - pubs.aip.org
We describe a quantum system consisting of a one-dimensional linear chain of n identical
harmonic oscillators coupled by a nearest neighbor interaction. Two boundary conditions …
harmonic oscillators coupled by a nearest neighbor interaction. Two boundary conditions …
Jacobson generators, Fock representations and statistics of sl (n+ 1)
TD Palev, J Van der Jeugt - Journal of Mathematical Physics, 2002 - pubs.aip.org
During the last two decades quantum statistics became a field of increasing interest among
field theorists and condensed matter theorists. Various new statistics were suggested …
field theorists and condensed matter theorists. Various new statistics were suggested …
Harmonic oscillators coupled by springs: discrete solutions as a Wigner quantum system
S Lievens, NI Stoilova, J Van der Jeugt - Journal of mathematical …, 2006 - pubs.aip.org
We consider a quantum system consisting of a one-dimensional chain of M identical
harmonic oscillators with natural frequency ω, coupled by means of springs. Such systems …
harmonic oscillators with natural frequency ω, coupled by means of springs. Such systems …
Wigner oscillators, twisted Hopf algebras, and second quantization
PG Castro, B Chakraborty, F Toppan - Journal of mathematical physics, 2008 - pubs.aip.org
By correctly identifying the role of the central extension in the centrally extended Heisenberg
algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the …
algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the …
Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction
G Regniers, J Van der Jeugt - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
We consider quantum systems consisting of a linear chain of n harmonic oscillators coupled
by a nearest-neighbour interaction of the form (refers to the position of the rth oscillator). In …
by a nearest-neighbour interaction of the form (refers to the position of the rth oscillator). In …
A q-Deformation of the Parastatistics and an Alternative to the Chevalley Description of
TD Palev - Communications in mathematical physics, 1998 - Springer
The paper contains essentially two new results. Physically, a deformation of the
parastatistics in a sense of quantum groups is carried out. Mathematically, an alternative to …
parastatistics in a sense of quantum groups is carried out. Mathematically, an alternative to …
Wigner approach to noncanonical quantizations
A Horzela - Czechoslovak Journal of Physics, 2000 - Springer
The Wigner problem, ie the search for quantum mechanical commutation relations
consistent with the Heisenberg evolution equations of a given form is studied. In the …
consistent with the Heisenberg evolution equations of a given form is studied. In the …
Representations of the Lie superalgebra in a Gel'fand–Zetlin basis and Wigner quantum oscillators
RC King, NI Stoilova… - Journal of Physics A …, 2006 - iopscience.iop.org
An explicit construction of all finite-dimensional irreducible representations of the Lie
superalgebra in a Gel'fand–Zetlin basis is given. Particular attention is paid to the so-called …
superalgebra in a Gel'fand–Zetlin basis is given. Particular attention is paid to the so-called …