dorsal/arxiv
View SchemaBound State Wave Functions through the Quantum Hamilton - Jacobi Formalism
| Authors | S. Sree Ranjani, K. G. Geojo, A. K. Kapoor, P. K. Panigrahi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211168 |
| URL | https://arxiv.org/abs/quant-ph/0211168 |
| DOI | 10.1142/S0217732304013799 |
| Journal | Mod. Phys. Lett. A. Vol 19, No. 19, (2004) 1457 |
Abstract
The bound state wave functions for a wide class of exactly solvable potentials are found utilizing the quantum Hamilton-Jacobi formalism. It is shown that, exploiting the singularity structure of the quantum momentum function, until now used only for obtaining the bound state energies, one can straightforwardly find both the eigenvalues and the corresponding eigenfunctions. After demonstrating the working of this approach through a number of solvable examples, we consider Hamiltonians, which exhibit broken and unbroken phases of supersymmetry. The natural emergence of the eigenspectra and the wave functions, in both the unbroken and the algebraically non-trivial broken phase, demonstrates the utility of this formalism.
{
"annotation_id": "41bcd8e6-0de6-4261-88e6-7c2b252777ef",
"date_created": "2026-03-02T18:01:55.463000Z",
"date_modified": "2026-03-02T18:01:55.463000Z",
"file_hash": "005a7d7a91eb90decb416320244eb51bf8e89afee05f98c4e27ce97b62c4d435",
"private": false,
"record": {
"abstract": "The bound state wave functions for a wide class of exactly solvable\npotentials are found utilizing the quantum Hamilton-Jacobi formalism. It is\nshown that, exploiting the singularity structure of the quantum momentum\nfunction, until now used only for obtaining the bound state energies, one can\nstraightforwardly find both the eigenvalues and the corresponding\neigenfunctions. After demonstrating the working of this approach through a\nnumber of solvable examples, we consider Hamiltonians, which exhibit broken and\nunbroken phases of supersymmetry. The natural emergence of the eigenspectra and\nthe wave functions, in both the unbroken and the algebraically non-trivial\nbroken phase, demonstrates the utility of this formalism.",
"arxiv_id": "quant-ph/0211168",
"authors": [
"S. Sree Ranjani",
"K. G. Geojo",
"A. K. Kapoor",
"P. K. Panigrahi"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217732304013799",
"journal_ref": "Mod. Phys. Lett. A. Vol 19, No. 19, (2004) 1457",
"title": "Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism",
"url": "https://arxiv.org/abs/quant-ph/0211168"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8ff3f5ad-fd44-4035-841e-d5f918aa2736",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}