dc.identifier.uri |
http://dx.doi.org/10.15488/5096 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/5140 |
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dc.contributor.author |
Hasegawa, H.
|
|
dc.contributor.author |
Mikeska, H.J.
|
|
dc.contributor.author |
Frahm, Holger
|
|
dc.date.accessioned |
2019-07-02T13:14:06Z |
|
dc.date.available |
2019-07-02T13:14:06Z |
|
dc.date.issued |
1988 |
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dc.identifier.citation |
Hasegawa, H.; Mikeska, H. J.; Frahm, H.: Stochastic formulation of energy level statistics. In: Physical Review A 38 (1988), Nr. 1, S. 395-399. DOI: https://doi.org/10.1103/PhysRevA.38.395 |
|
dc.description.abstract |
It is shown that the joint distribution of energy eigenvalues for systems with a varying degree of nonintegrability which has been obtained dynamically by T. Yukawa [Phys. Rev. Lett. 54, 1883 (1985)] can also be deduced by putting his equations of motion in the form of stochastic differential equations. We obtain an interpolation formula for the nearest-neighbor-spacing distribution as a smooth one-parameter family of density functions Pλ(S), 0≤λ<∞. This distribution retains a nonanalytic nature near λ→0; when λ=0 it agrees with the Poissonian distribution but whenever λ≠0 it is proportional to S for small S, as predicted by M. Robnik [J. Phys. A 20, L495 (1987)]. A considerable improvement on the agreement between the energy-level histogram in a real system (hydrogen in a magnetic field) and theoretical formulas which have been studied by Wintgen and Friedrich [Phys. Rev. A 35, 1464 (1987)] is demonstrated. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
College Park (Maryland) : American Physical Society |
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dc.relation.ispartofseries |
Physical Review A |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject |
energy-level histogram |
eng |
dc.subject |
magnetic fied |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Stochastic formulation of energy level statistics |
eng |
dc.type |
Article |
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dc.type |
Text |
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dc.relation.essn |
1094-1622 |
|
dc.relation.essn |
2469-9926 |
|
dc.relation.essn |
2469-9934 |
|
dc.relation.issn |
0556-2791 |
|
dc.relation.issn |
1050-2947 |
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dc.relation.doi |
https://doi.org/10.1103/PhysRevA.38.395 |
|
dc.bibliographicCitation.issue |
1 |
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dc.bibliographicCitation.volume |
38 |
|
dc.bibliographicCitation.firstPage |
395 |
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dc.bibliographicCitation.lastPage |
399 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|