dorsal/arxiv
View SchemaA New Approach to Solve the Low-lying States of the Schroedinger Equation
| Authors | T. D. Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501054 |
| URL | https://arxiv.org/abs/quant-ph/0501054 |
| DOI | 10.1007/s10955-005-5476-9 |
Abstract
We review a new iterative procedure to solve the low-lying states of the Schroedinger equation, done in collaboration with Richard Friedberg. For the groundstate energy, the $n^{th}$ order iterative energy is bounded by a finite limit, independent of $n$; thereby it avoids some of the inherent difficulties faced by the usual perturbative series expansions. For a fairly large class of problems, this new procedure can be proved to give convergent iterative solutions. These convergent solutions include the long standing difficult problem of a quartic potential with either symmetric or asymmetric minima.
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"abstract": "We review a new iterative procedure to solve the low-lying states of the\nSchroedinger equation, done in collaboration with Richard Friedberg. For the\ngroundstate energy, the $n^{th}$ order iterative energy is bounded by a finite\nlimit, independent of $n$; thereby it avoids some of the inherent difficulties\nfaced by the usual perturbative series expansions. For a fairly large class of\nproblems, this new procedure can be proved to give convergent iterative\nsolutions. These convergent solutions include the long standing difficult\nproblem of a quartic potential with either symmetric or asymmetric minima.",
"arxiv_id": "quant-ph/0501054",
"authors": [
"T. D. Lee"
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"quant-ph"
],
"doi": "10.1007/s10955-005-5476-9",
"title": "A New Approach to Solve the Low-lying States of the Schroedinger Equation",
"url": "https://arxiv.org/abs/quant-ph/0501054"
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