منابع مشابه
Two-dimensional Susy−pseudo-hermiticity without Separation of Variables
We study SUSY −intertwining for non-Hermitian Hamiltonians with complex supercharges. Special emphasis is given to the two-dimensional generalized (singular) Morse potential. This model does not allow for separation of variables nevertheless a part of its spectrum and eigenfunctions can be constructed. The spectrum includes both complex conjugated energy pairs and non-paired complex energies fo...
متن کاملSeparation of Variables . New Trends
The review is based on the author’s papers since 1985 in which a new approach to the separation of variables (SoV) has being developed. It is argued that SoV, understood generally enough, could be the most universal tool to solve integrable models of the classical and quantum mechanics. It is shown that the standard construction of the action-angle variables from the poles of the Baker-Akhiezer...
متن کاملNew Methods for Two-dimensional Schrödinger Equation: Susy−separation of Variables and Shape Invariance
X iv :h ep -t h/ 02 01 08 0v 1 1 3 Ja n 20 02 NEW METHODS FOR TWO-DIMENSIONAL SCHRÖDINGER EQUATION: SUSY−SEPARATION OF VARIABLES AND SHAPE INVARIANCE F. Cannata, M.V. Ioffe , D.N. Nishnianidze 1 Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna, Italy. 2 Department of Theoretical Physics, Sankt-Petersburg State University, 198504 Sankt-Petersburg, Russia 3 Kutaisi Polytechnical Uni...
متن کاملSeparation of variables in the two-dimensional wave equation with potential
where u = u(t, x) ∈ C(R,R) and V (x) ∈ C(R,R), by using the method of separation of variables (SV). Equations belonging to class (1) are widely used in the modern quantum physics and can be related to other linear and nonlinear equations of mathematical physics (these relations will be discussed below, at the end of the article). In particular, class (1) contains the d’Alembert equation (with V...
متن کاملComplex variables for separation of Hamilton-Jacobi equation on three-dimensional Minkowski space
The real coordinates separating geodesic Hamilton-Jacobi equation on three-dimensional Minkowski space in several cases cannot be defined in the whole space. We show through an example how to naturally extend them to complex variables defined everywhere (excluding the singular surfaces of each coordinate system only) and still separating the same 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: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2811706