Asymptotics of Information Entropies of Some Toda-Like Potentials
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Asymptotics of Information Entropies of Some Toda-Like Potentials
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| Id. |
47103039 |
| Idioma |
inglés
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| Titulo |
Asymptotics of Information Entropies of Some Toda-Like Potentials |
| Autor(es) |
J. S. Dehesa
I Física
Teórica Computacional
A. Martínez-finkelshtein
V. N. Sorokin
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| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.5846
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
The spreading of the quantum probability density for the highlyexcited states of a single-particle system with an exponential-type potential on the positive semiaxis is quantitatively determined in both position and momentum spaces by means of the Boltzmann-Shannon information entropy. This problem boils down to the calculation of the asymptotics of the entropy-like integrals of the modified Bessel function of the second kind (also called Mcdonald function or Basset function). The dependence of the two physical entropies on the large quantum number n is given in detail. It is shown that the semiclassical (WKB) position-space entropy grows slower than the corresponding quantity of not only the harmonic oscillator but also the single-particle systems with any power-type potential of the form V (x) = x and k N. The momentum-space entropy, calculated with a method based on the properties of the Mcdonald function, is rigorously found to have a behavior of the form ln ln n, in strong contrast with the corresponding quantity of other one-dimensional systems known up to now (power-type potentials, infinite well).
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| Tipo |
application/pdf
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/pdf
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.wis.kuleuven.ac.be/applied/intas/Toda-final.pdf
[References] 10.1.1.111.6887
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| Fecha de contribución |
24-ago-2009 |
| Contacto |
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