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Toscano, F.; Vallejos, R.O.; Wisniacki, D. "Semiclassical description of wave packet revival" (2009) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 80(4)
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Abstract:

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Semiclassical description of wave packet revival
Autor:Toscano, F.; Vallejos, R.O.; Wisniacki, D.
Filiación:Instituto de Física, Universidade Federal Do Rio de Janeiro, CP 68528, 21941-972 Rio de Janeiro, RJ, Brazil
Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil
Departamento de Física J. J. Giambiagi, FCEN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
Palabras clave:Autocorrelation functions; Quantum wave packets; Semiclassical theories; Time-dependent; Wave packet revivals; Regression analysis; Wave functions; Wave packets; Waves; Automobile exhibitions
Año:2009
Volumen:80
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevE.80.046218
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Toscano

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Citas:

---------- APA ----------
Toscano, F., Vallejos, R.O. & Wisniacki, D. (2009) . Semiclassical description of wave packet revival. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(4).
http://dx.doi.org/10.1103/PhysRevE.80.046218
---------- CHICAGO ----------
Toscano, F., Vallejos, R.O., Wisniacki, D. "Semiclassical description of wave packet revival" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 4 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.046218
---------- MLA ----------
Toscano, F., Vallejos, R.O., Wisniacki, D. "Semiclassical description of wave packet revival" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 4, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.046218
---------- VANCOUVER ----------
Toscano, F., Vallejos, R.O., Wisniacki, D. Semiclassical description of wave packet revival. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(4).
http://dx.doi.org/10.1103/PhysRevE.80.046218