The paraboson Fock space and unitary irreducible representations of the Lie superalgebra
S Lievens, NI Stoilov, JV der Jeugt - Communications in Mathematical …, 2008 - Springer
It is known that the defining relations of the orthosymplectic Lie superalgebra osp (1| 2n) are
equivalent to the defining (triple) relations of n pairs of paraboson operators b^\pm_i. In …
equivalent to the defining (triple) relations of n pairs of paraboson operators b^\pm_i. In …
Nearest-neighbor interaction systems in the tensor-train format
Low-rank tensor approximation approaches have become an important tool in the scientific
computing community. The aim is to enable the simulation and analysis of high-dimensional …
computing community. The aim is to enable the simulation and analysis of high-dimensional …
The interacting multiverse and its effect on the cosmic microwave background
M Bouhmadi-López, M Krämer, J Morais… - … of Cosmology and …, 2019 - iopscience.iop.org
We study a toy model of a multiverse consisting of canonically quantized universes that
interact with each other on a quantum level based on a field-theoretical formulation of the …
interact with each other on a quantum level based on a field-theoretical formulation of the …
Interacting universes and the cosmological constant
In this Letter it is studied the effects that an interaction scheme among universes can have in
the values of their cosmological constants. In the case of two interacting universes, the value …
the values of their cosmological constants. In the case of two interacting universes, the value …
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 …
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 …
Representations of the Lie superalgebra osp (1| 2n) with polynomial bases
AK Bisbo, H De Bie, J Van der Jeugt - SIGMA. Symmetry, Integrability …, 2021 - emis.de
We study a particular class of infinite-dimensional representations of $\mathfrak {osp}(1| 2n)
$. These representations $ L_n (p) $ are characterized by a positive integer $ p $, and are …
$. These representations $ L_n (p) $ are characterized by a positive integer $ p $, and are …
The Hamiltonian and Classification of osp(1|2) Representations
G Regniers, J Van der Jeugt - AIP Conference Proceedings, 2010 - pubs.aip.org
The quantization of the simple one‐dimensional Hamiltonian H= xp is of interest for its
mathematical properties rather than for its physical relevance. In fact, the Berry‐Keating …
mathematical properties rather than for its physical relevance. In fact, the Berry‐Keating …
Bases for infinite dimensional simple osp (1| 2n)-modules respecting the branching osp (1| 2n)⊃ gl (n)
AK Bisbo, J Van der Jeugt - Journal of Mathematical Physics, 2022 - pubs.aip.org
We study the effects of the branching osp (1| 2 n)⊃ gl (n) on a particular class of simple
infinite-dimensional osp (1| 2 n)-modules L (p) characterized by a positive integer p. In the …
infinite-dimensional osp (1| 2 n)-modules L (p) characterized by a positive integer p. In the …
Spectrum generating functions for non-canonical quantum oscillators
S Lievens, J Van der Jeugt - Journal of Physics A: Mathematical …, 2008 - iopscience.iop.org
The n-dimensional (isotropic and non-isotropic) harmonic oscillator is studied as a Wigner
quantum system. In particular, we focus on the energy spectrum of such systems. After briefly …
quantum system. In particular, we focus on the energy spectrum of such systems. After briefly …