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Superconformal mechanics
Superconformal mechanics - IOPscience Skip to content IOP Science home Accessibility Help
Search Journals Journals list Browse more than 100 science journal titles Subject collections …
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 …
Rationally-extended Dunkl oscillator on the line
C Quesne - Journal of Physics A: Mathematical and Theoretical, 2023 - iopscience.iop.org
It is shown that the extensions of exactly-solvable quantum mechanical problems connected
with the replacement of ordinary derivatives by Dunkl ones and with that of classical …
with the replacement of ordinary derivatives by Dunkl ones and with that of classical …
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 …
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 …
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 …