✦ LIBER ✦

Some useful discrete variable representations for problems in time-dependent and time-independent quantum mechanics

✍ Scribed by James T. Muckerman

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 521 KB
Volume: 173
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(90)80078-r

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✦ Synopsis

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 explicitly derived and applied to a problem in spherical polar coordinates with azimuthal symmetry. These two DVRs have equally spaced points and equal weights.