|
| related topics |
| {equation, function, exp} |
| {observables, space, algebra} |
| {classical, space, random} |
| {group, space, representation} |
| {phase, path, phys} |
|
Change of Variable as Borel Resummation of Semiclassical Series
Stefan Giller, Piotr Milczarski
abstract: It is shown that a change of variable in 1-dim Schroedinger equation applied
to the Borel summable fundamental solutions [Giller] is equivalent to Borel
resummation of the fundamental solutions multiplied by suitably chosen
$\hbar$-dependent constant. This explains why change of variable can improve
JWKB formulae [Giller, Milczarski]. It is shown also that a change of variable
alone cannot provide us with the exact JWKB formulae.
- oai_identifier:
- oai:arXiv.org:quant-ph/9712039
- categories:
- quant-ph
- comments:
- 7 pages, uses article.sty art11.sty, 1 EPS figure
- doi:
- 10.1088/0305-4470/32/6/009
- arxiv_id:
- quant-ph/9712039
- journal_ref:
- J.Phys.A32:955-976,1999
- created:
- 1997-12-18
- updated:
- 1998-07-14
Full article ▸
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