Semiclassical description of wave packet revival

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...

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Autores principales:	Toscano, Fabricio, Vallejos, Raúl Oscar, Wisniacki, Diego A.
Publicado:	2009
Materias:	Autocorrelation functions Quantum wave packets Semiclassical theories Time-dependent Wave packet revivals Regression analysis Wave functions Wave packets Waves Automobile exhibitions
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Toscano http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Toscano
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15393755_v80_n4_p_Toscano
record_format	dspace
spelling	paper:paper_15393755_v80_n4_p_Toscano2023-06-08T16:20:45Z Semiclassical description of wave packet revival Toscano, Fabricio Vallejos, Raúl Oscar Wisniacki, Diego A. Autocorrelation functions Quantum wave packets Semiclassical theories Time-dependent Wave packet revivals Regression analysis Wave functions Wave packets Waves Automobile exhibitions 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. Fil:Toscano, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vallejos, R.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Toscano http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Toscano
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Autocorrelation functions Quantum wave packets Semiclassical theories Time-dependent Wave packet revivals Regression analysis Wave functions Wave packets Waves Automobile exhibitions
spellingShingle	Autocorrelation functions Quantum wave packets Semiclassical theories Time-dependent Wave packet revivals Regression analysis Wave functions Wave packets Waves Automobile exhibitions Toscano, Fabricio Vallejos, Raúl Oscar Wisniacki, Diego A. Semiclassical description of wave packet revival
topic_facet	Autocorrelation functions Quantum wave packets Semiclassical theories Time-dependent Wave packet revivals Regression analysis Wave functions Wave packets Waves Automobile exhibitions
description	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.
author	Toscano, Fabricio Vallejos, Raúl Oscar Wisniacki, Diego A.
author_facet	Toscano, Fabricio Vallejos, Raúl Oscar Wisniacki, Diego A.
author_sort	Toscano, Fabricio
title	Semiclassical description of wave packet revival
title_short	Semiclassical description of wave packet revival
title_full	Semiclassical description of wave packet revival
title_fullStr	Semiclassical description of wave packet revival
title_full_unstemmed	Semiclassical description of wave packet revival
title_sort	semiclassical description of wave packet revival
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Toscano http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_Toscano
work_keys_str_mv	AT toscanofabricio semiclassicaldescriptionofwavepacketrevival AT vallejosrauloscar semiclassicaldescriptionofwavepacketrevival AT wisniackidiegoa semiclassicaldescriptionofwavepacketrevival
_version_	1768545161479979008

Semiclassical description of wave packet revival

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