𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quantum Mechanics and Polynomials of a Discrete Variable

✍ Scribed by R. Floreanini; J. Letourneux; L. Vinet


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
597 KB
Volume
226
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis


The recursive Lanczos method for solving the SchrΓΆdinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation. An algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context. 1993 Academic Press, Inc.


πŸ“œ SIMILAR VOLUMES


Discrete Reflectionless Potentials, Quan
✍ V. Spiridonov; A. Zhedanov πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 904 KB

Using Darboux transformations for the lattice SchrΓΆdinger equation, we construct two families of discrete reflectionless potentials with \(j\) and \(2 j\) bound states (solitons). These potentials are related to the exceptional Askey-Wilson polynomials. In the continuous limit they are reduced to th

Some useful discrete variable representa
✍ James T. Muckerman πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 521 KB

We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on proper&s of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are

Discrete variable representations and su
✍ J.V. Lill; G.A. Parker; J.C. Light πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 526 KB

An c\act fOrmhSm In which rhe scarrcnng problem may be descnbcd by smsor coupled cqumons hbclcd CIIIW bb bans iuncltons or quadrature pomts IS presented USC of each frame and the srnrply culuatcd unitary wmsformatlon which connects them resulis III an cfliclcnt procedure ror pcrrormrnp qu~nrum scxrc