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Complex scaling in two dimensions: first results

✍ Scribed by H. Lehr; C.A. Chatzidimitriou-Dreismann

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
358 KB
Volume
186
Category
Article
ISSN
0009-2614

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✦ Synopsis

We report here our first results solving the two-dimensional Schtiinger equation within the complex scaling framework. We employ a matrix technique to calculate bound-state and resonance energies. The basis set is determined by first solving the onedimensional problem (i.e. keeping in turn one coordinate constant). The basis functions for the full problem are then approximated by a set of products of the one-dimensional eigenfunctions. A3 a simple (non-separable) test case the H&on-Heiles potential was used, which has -under certain conditions -bound states, whose energies have been determined earlier.

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