Superconformal mechanics
S Fedoruk, E Ivanov, O Lechtenfeld - Journal of Physics A …, 2012 - iopscience.iop.org
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Search Journals Journals list Browse more than 100 science journal titles Subject collections …
Supersymmetric SYK model and random matrix theory
A bstract In this paper, we investigate the effect of supersymmetry on the symmetry
classification of random matrix theory ensembles. We mainly consider the random matrix …
classification of random matrix theory ensembles. We mainly consider the random matrix …
Yang-Baxter equation in long-range interacting systems
We consider the su (p) spin chains with long-range interactions and the spin generalization
of the Calogero-Sutherland models. We show that their properties derive from a transfer …
of the Calogero-Sutherland models. We show that their properties derive from a transfer …
[PDF][PDF] Physics and mathematics of Calogero particles
AP Polychronakos - arxiv preprint hep-th/0607033, 2006 - arxiv.org
arxiv:hep-th/0607033v2 16 Aug 2006 Physics and mathematics of Calogero particles Page 1
arxiv:hep-th/0607033v2 16 Aug 2006 CCNY-HEP-06-9 June 2006 Physics and mathematics …
arxiv:hep-th/0607033v2 16 Aug 2006 CCNY-HEP-06-9 June 2006 Physics and mathematics …
Deformed Heisenberg algebra, fractional spin fields, and supersymmetry without fermions
MS Plyushchay - Annals of Physics, 1996 - Elsevier
Within a group-theoretical approach to the description of (2+ 1)-dimensional anyons, the
minimal covariant set of linear differential equations is constructed for the fractional spin …
minimal covariant set of linear differential equations is constructed for the fractional spin …
One-dimensional quantum mechanics with Dunkl derivative
WS Chung, H Hassanabadi - Modern Physics Letters A, 2019 - World Scientific
In this paper, we consider the quantum mechanics with Dunkl derivative. We use the Dunkl
derivative to obtain the coordinate representation of the momentum operator and …
derivative to obtain the coordinate representation of the momentum operator and …
The Calogero model—anyonic representation, fermionic extension and supersymmetry
We discuss several applications and extensions of our previous operator solution of the N-
body quantum-mechanical Calogero problem, ie N particles in one dimension subject to a …
body quantum-mechanical Calogero problem, ie N particles in one dimension subject to a …
Bosonic continuum theory of one-dimensional lattice anyons
M Bonkhoff, K Jägering, S Eggert, A Pelster… - Physical Review Letters, 2021 - APS
Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known
continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons …
continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons …
Quantum Hall physics= noncommutative field theory
In this note, we study a matrix-regularized version of non-commutative U (1) Chern-Simons
theory proposed recently by Polychronakos. We determine a complete minimal basis of …
theory proposed recently by Polychronakos. We determine a complete minimal basis of …
Deformed Heisenberg algebra with reflection
MS Plyushchay - Nuclear Physics B, 1997 - Elsevier
A universality of the deformed Heisenberg algebra involving the reflection operator is
revealed. It is shown that in addition to the well-known infinite-dimensional representations …
revealed. It is shown that in addition to the well-known infinite-dimensional representations …