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 …

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 …

The Higgs sector of the next-to-minimal supersymmetric standard model

DJ Miller, R Nevzorov, PM Zerwas - Nuclear Physics B, 2004 - Elsevier
The Higgs boson spectrum of the next-to-minimal supersymmetric standard model is
examined. The model includes a singlet Higgs field S in addition to the two Higgs doublets …

Superconformal mechanics

S Fedoruk, E Ivanov, O Lechtenfeld - Journal of Physics A …, 2012 - iopscience.iop.org
Superconformal mechanics - IOPscience Skip to content IOP Science home Accessibility Help
Search Journals Journals list Browse more than 100 science journal titles Subject collections …

Lie-algebraic Kähler sigma models with U (1) isotropy

CH Sheu, M Shifman - Physical Review D, 2024 - APS
We discuss various questions that emerge in connection with the Lie-algebraic deformation
of the CP 1 sigma model in two dimensions. First, we supersymmetrize the original model …

Nonlinear supersymmetric quantum mechanics: concepts and realizations

AA Andrianov, MV Ioffe - Journal of Physics A: Mathematical and …, 2012 - iopscience.iop.org
The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum
mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is …

[BOOK][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 …

Supersymmetric Calogero–Moser–Sutherland models and Jack superpolynomials

P Desrosiers, L Lapointe, P Mathieu - Nuclear Physics B, 2001 - Elsevier
A new generalization of the Jack polynomials that incorporates fermionic variables is
presented. These Jack superpolynomials are constructed as those eigenfunctions of the …

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 …

(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 …