Abstract Quasi-Exactly Solvable Schrödinger Equations occupy an intermediate place
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …

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 …

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 …

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 …

We introduce an orbifold induction procedure which provides a systematic construction of
cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the …

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 …

A general classification of linear differential and finite-difference operators possessing a
finite-dimensional invariant subspace with a polynomial basis (the generalized Bochner …

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 …

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 …

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 …