Classical and quantum superintegrability with applications
W Miller, S Post, P Winternitz - Journal of Physics A: Mathematical …, 2013 - iopscience.iop.org
A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
One-dimensional quasi-exactly solvable Schrödinger equations
AV Turbiner - Physics Reports, 2016 - Elsevier
Abstract Quasi-Exactly Solvable Schrödinger Equations occupy an intermediate place
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …
Commutative families in W∞, integrable many-body systems and hypergeometric τ-functions
A Mironov, V Mishnyakov, A Morozov… - Journal of High Energy …, 2023 - Springer
A bstract We explain that the set of new integrable systems, generalizing the Calogero family
and implied by the study of WLZZ models, which was described in arXiv: 2303.05273, is only …
and implied by the study of WLZZ models, which was described in arXiv: 2303.05273, is only …
[图书][B] Itep Lectures On Particle Physics And Field Theory (In 2 Vols)
M Shifman - 1999 - books.google.com
For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving
review lectures on frontier topics in theoretical high energy physics. This two-volume book is …
review lectures on frontier topics in theoretical high energy physics. This two-volume book is …
Hidden algebras of the (super) Calogero and Sutherland models
L Brink, A Turbiner, N Wyllard - Journal of Mathematical Physics, 1998 - pubs.aip.org
We propose to parametrize the configuration space of one-dimensional quantum systems of
N identical particles by the elementary symmetric polynomials of bosonic and fermionic …
N identical particles by the elementary symmetric polynomials of bosonic and fermionic …
Rotation-vibrational spectra of diatomic molecules and nuclei with Davidson interactions
DJ Rowe, C Bahri - Journal of Physics A: Mathematical and …, 1998 - iopscience.iop.org
Complete rotation-vibrational spectra and electromagnetic transition rates are obtained for
Hamiltonians of diatomic molecules and nuclei with Davidson interactions. Analytical results …
Hamiltonians of diatomic molecules and nuclei with Davidson interactions. Analytical results …
Complex Calogero model with real energies
M Znojil, M Tater - Journal of Physics A: Mathematical and …, 2001 - iopscience.iop.org
Abstract Recently, the Script P Script T symmetry of many single-particle non-Hermitian
Hamiltonians has been conjectured to be sufficient to keep their spectrum real. We …
Hamiltonians has been conjectured to be sufficient to keep their spectrum real. We …
(Super) conformal many-body quantum mechanics with extended supersymmetry
N Wyllard - Journal of Mathematical Physics, 2000 - pubs.aip.org
Recently, there has been increased interest in supersymmetric quantum-mechanical
models. Contrary to the situation in higher dimensions, such models have been much less …
models. Contrary to the situation in higher dimensions, such models have been much less …
Quantum Calogero-Moser models: Integrability for all root systems
SP Khastgir, AJ Pocklington… - Journal of Physics A …, 2000 - iopscience.iop.org
The issues related to the integrability of quantum Calogero-Moser models based on any root
systems are addressed. For the models with degenerate potentials, ie the rational …
systems are addressed. For the models with degenerate potentials, ie the rational …
Cylindrical type integrable classical systems in a magnetic field
F Fournier, L Šnobl, P Winternitz - Journal of Physics A …, 2020 - iopscience.iop.org
Cylindrical type integrable classical systems in a magnetic field - IOPscience This site uses
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