dorsal/arxiv
View SchemaSolving Single and Many-body Quantum Problems: A Novel Approach
| Authors | N. Gurappa, Prasanta K. Panigrahi, R. Atre, T. Shreecharan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204130 |
| URL | https://arxiv.org/abs/quant-ph/0204130 |
Abstract
A unified approach, for solving a wide class of single and many-body quantum problems, commonly encountered in literature is developed based on a recently proposed method for finding solutions of linear differential equations. Apart from dealing with exactly and quasi-exactly solvable problems, the present approach makes transparent various properties of the familiar orthogonal polynomials and also the construction of their respective ladder operators. We illustrate the procedure for finding the approximate eigenvalues and eigenfunctions of non-exactly solvable problems.
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"abstract": "A unified approach, for solving a wide class of single and many-body quantum\nproblems, commonly encountered in literature is developed based on a recently\nproposed method for finding solutions of linear differential equations. Apart\nfrom dealing with exactly and quasi-exactly solvable problems, the present\napproach makes transparent various properties of the familiar orthogonal\npolynomials and also the construction of their respective ladder operators. We\nillustrate the procedure for finding the approximate eigenvalues and\neigenfunctions of non-exactly solvable problems.",
"arxiv_id": "quant-ph/0204130",
"authors": [
"N. Gurappa",
"Prasanta K. Panigrahi",
"R. Atre",
"T. Shreecharan"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"title": "Solving Single and Many-body Quantum Problems: A Novel Approach",
"url": "https://arxiv.org/abs/quant-ph/0204130"
},
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