gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
نویسندگان
چکیده
منابع مشابه
Quasi exactly solvable matrix Schrödinger operators
Two families of quasi exactly solvable 2 × 2 matrix Schrödinger operators are constructed. The first one is based on a polynomial matrix potential and depends on three parameters. The second is a one-parameter generalisation of the scalar Lamé equation. The relationship between these operators and QES Hamiltonians already considered in the literature is pointed out.
متن کاملQuasi exactly solvable N × N - Matrix Schrödinger operators
New examples of matrix quasi exactly solvable Schrödinger operators are constructed. One of them constitutes a N×N matrix generalization of the quasi exactly solvable anharmonic oscillator, the corresponding invariant vector space is constructed explicitely. Also investigated are matrix generalizations of the Lamé equation.
متن کاملQuasi exactly solvable matrix Schrödinger operators . Yves BRIHAYE Faculté
Two families of quasi exactly solvable 2 × 2 matrix Schrödinger operators are constructed. The first one is based on a polynomial matrix potential and depends on three parameters. The second is a one-parameter generalisation of the scalar Lamé equation. The relationship between these operators and QES Hamiltonians already considered in the literature is pointed out.
متن کاملQuasi-exactly solvable problems and random matrix theory
There exists an exact relationship between the quasi-exactly solvable problems of quantum mechanics and models of square and rectangular random complex matrices. This relationship enables one to reduce the problem of constructing topological (1/N) expansions in random matrix models to the problem of constructing semiclassical expansions for observables in quasi-exactly solvable problems. Lie al...
متن کاملQuasi Exactly Solvable 2×2 Matrix Equations
We investigate the conditions under which systems of two differential eigenvalue equations are quasi exactly solvable. These systems reveal a rich set of algebraic structures. Some of them are explicitely described. An exemple of quasi exactly system is studied which provides a direct counterpart of the Lamé equation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Polytechnica
سال: 2013
ISSN: 1805-2363,1210-2709
DOI: 10.14311/ap.2013.53.0462