Mostrar el registro sencillo del ítem
Quantum-information entropies for highly excited states of single-particle systems with power-type potentials
dc.contributor.author | Dehesa, J. S. | |
dc.contributor.author | Martínez Finkelshtein, Andrei | |
dc.contributor.author | Sorokin, V. N. | |
dc.date.accessioned | 2017-06-20T06:28:24Z | |
dc.date.available | 2017-06-20T06:28:24Z | |
dc.date.issued | 2002 | |
dc.identifier.citation | ©2002 American Physical Society | es_ES |
dc.identifier.uri | http://hdl.handle.net/10835/4869 | |
dc.description.abstract | The asymptotics of the Boltzmann-Shannon information entropy as well as the Renyi entropy for the quantum probability density of a single-particle system with a confining (i.e., bounded below) power-type potential V(x)=x^2k with k∈N and x∈R, is investigated in the position and momentum spaces within the semiclassical (WKB) approximation. It is found that for highly excited states both physical entropies, as well as their sum, have a logarithmic dependence on its quantum number not only when k=1 (harmonic oscillator), but also for any fixed k. As a by-product, the extremal case k→∞ (the infinite well potential) is also rigorously analyzed. It is shown that not only the position-space entropy has the same constant value for all quantum states, which is a known result, but also that the momentum-space entropy is constant for highly excited states. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | American Physical Society | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Quantum-information entropies for highly excited states of single-particle systems with power-type potentials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.66.062109 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | https://doi.org/10.1103/PhysRevA.66.062109 |