|
| related topics |
| {equation, function, exp} |
| {phase, path, phys} |
| {classical, space, random} |
| {state, phys, rev} |
| {energy, state, states} |
| {state, states, entangled} |
| {wave, scattering, interference} |
| {information, entropy, channel} |
|
Bound State Wave Functions through the Quantum Hamilton - Jacobi
Formalism
S. Sree Ranjani, K. G. Geojo, A. K. Kapoor, P. K. Panigrahi
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0211168
- categories:
- quant-ph
- comments:
- replaced with the journal version
- doi:
- 10.1142/S0217732304013799
- arxiv_id:
- quant-ph/0211168
- journal_ref:
- Mod. Phys. Lett. A. Vol 19, No. 19, (2004) 1457
- created:
- 2002-11-26
- updated:
- 2004-07-07
Full article ▸
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