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 …

Integrability and matrix models

AY Morozov - Physics-Uspekhi, 1994 - iopscience.iop.org
The theory of matrix models is reviewed from the point of view of its relation to integrable
hierarchies. Discrete 1-matrix, 2-matrix,'conformal'(multicomponent) and Kontsevich models …

[图书][B] Quasi-exactly solvable models in quantum mechanics

AG Ushveridze - 2017 - taylorfrancis.com
Exactly solvable models, that is, models with explicitly and completely diagonalizable
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …

Quasi‐exactly solvable systems and orthogonal polynomials

CM Bender, GV Dunne - Journal of Mathematical Physics, 1996 - pubs.aip.org
This paper shows that there is a correspondence between quasi‐exactly solvable models in
quantum mechanics and sets of orthogonal polynomials {P n}. The quantum‐mechanical …

Systematic approach to cyclic orbifolds

L Borisov, MB Halpern, C Schweigert - International Journal of …, 1998 - World Scientific
We introduce an orbifold induction procedure which provides a systematic construction of
cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the …

Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators

A Gonzalez-Lopez, N Kamran, PJ Olver - … in Mathematical Physics, 1993 - Springer
We completely determine necessary and sufficient conditions for the normalizability of the
wave functions giving the algebraic part of the spectrum of a quasi-exactly solvable …

LIE-ALGEBRAS AND LINEAR OPERATORS WITH INVARIANT

A Turbiner - Lie Algebras, Cohomology, and New Applications to …, 1994 - books.google.com
A general classification of linear differential and finite-difference operators possessing a
finite-dimensional invariant subspace with a polynomial basis (the generalized Bochner …

[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 …

[PDF][PDF] Duality in gauged WZW models

EB Kiritsis - Mod. Phys. Lett. A, 1991 - hep.physics.uoc.gr
Duality in Gauged WZW Models Page 1 LBL-30747 UCB-PTH-91/21 May 1991 Duality in
Gauged WZW Models ∗ Elias B. Kiritsis Department of Physics†, University of California and …

Gauged WZW models and non-Abelian duality

K Sfetsos - Physical Review D, 1994 - APS
We consider WZW models based on the non-semi-simple algebras that were recently
constructed as contractions of corresponding algebras for semisimple groups. We give the …