Three Solvable Matrix Models of a Quantum Catastrophe
نویسندگان
چکیده
منابع مشابه
Solvable Matrix Models
We review some old and new methods of reduction of the number of degrees of freedom from ∼ N 2 to ∼ N in the multi-matrix integrals.
متن کاملAbrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions
We consider a particle with a position-dependent mass, moving in a threedimensional semi-infinite parallelepipedal or cylindrical channel under the influence of some hyperbolic potential. We show that the lack of uniformity in the environment generates an infinite number of bound states. PACS: 03.65.-w
متن کاملOn quasi-exactly solvable matrix models
An efficient procedure for constructing quasi-exactly solvable matrix models is suggested. It is based on the fact that the representation spaces of representations of the algebra sl(2,R) within the class of first-order matrix differential operators contain finite dimensional invariant subspaces. The Lie-algebraic approach to constructing quasi-exactly solvable one-dimensional stationary Schröd...
متن کاملSolvable Lattice Models and Quantum Groups
Our main concern in this survey is the following question. What is the rôle of quantum groups in solvable lattice models; more specifically, what is their rôle in building models and in solving models respectively? Building models amounts to constructing solutions to the Yang-Baxter equation (YBE). Through the development of the last 4-5 years, the situation has been clarified relatively well. ...
متن کاملSupersymmetric Quantum Mechanics and Solvable Models
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems. We review shape invariance and its connection to a consequent potential algebra. The additive shape invariance condition is specified by a difference-differential equation; we show that this equation is equival...
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: International Journal of Theoretical Physics
سال: 2014
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-014-2085-x