|
related topics |
{energy, state, states} |
{equation, function, exp} |
{wave, scattering, interference} |
{let, theorem, proof} |
{cos, sin, state} |
|
Bound and Unbound Wave Functions at Short Distances
Goeran Faeldt, Colin Wilkin
abstract: There exists a simple relationship between a quantum-mechanical bound-state
wave function and that of nearby scattering states, when the scattering energy
is extrapolated to that of the bound state. This relationship is demonstrated
numerically for the case of a spherical well potential and analytically for
this and other soluble potentials. Provided that the potential is of finite
range and that the binding is weak, the theorem gives a useful approximation
for the short-distance behaviour of the scattering wave functions. The
connection between bound and scattering-state perturbation theory is
established in this limit.
- oai_identifier:
- oai:arXiv.org:quant-ph/9710049
- categories:
- quant-ph
- comments:
- 13 pages, Latex
- doi:
- 10.1119/1.18987
- arxiv_id:
- quant-ph/9710049
- report_no:
- TSL/ISV-97-0188
- created:
- 1997-10-21
Full article ▸
|
|
related documents |
0602048v2 |
0412118v2 |
9909047v1 |
0409149v2 |
0209078v2 |
9708020v1 |
0412056v1 |
0007031v1 |
0505101v1 |
0608051v1 |
0507186v2 |
0610114v3 |
0701096v2 |
0702078v2 |
0509023v3 |
0310079v1 |
0606110v1 |
9705040v1 |
0209102v1 |
0506022v2 |
0702051v1 |
0407015v1 |
0507266v1 |
0512007v2 |
0202091v1 |
|