Analytical investigation of revival phenomena in the finite square-well potential

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 2, 2000, Pages 022102-022101

  Aronstein, David L ^a   Stroud Jr , C R ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; POLYNOMIALS; SPECTRUM ANALYSIS;

ENERGY SPECTRUM; QUANTIZATION EQUATION; QUANTUM NUMBER; REVIVAL PHENOMENA; WAVE PACKETS;

QUANTUM THEORY;

EID: 0034246681     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Such "classical limit" states of hydrogen were first examined by L.S. Brown, Am. J. Phys. 41, 525 (1973); Analysis of the classical dynamics of electron wave packets formed by pico- second laser pulses in Rydberg atoms was presented by J. Parker and C.R. Stroud, Jr., Phys. Scr. T12, 70 (1986).
2. Such "classical limit" states of hydrogen were first examined by L.S. Brown, Am. J. Phys. 41, 525 (1973); Analysis of the classical dynamics of electron wave packets formed by pico-second laser pulses in Rydberg atoms was presented by J. Parker and C.R. Stroud, Jr., Phys. Scr. T12, 70 (1986).
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24. 2n). The results of Knospe and Schmidt [17], used in Secs. III D 1-III D 3, require that the value of n̄ be restricted to integer values.
25. Visualizing quantum dynamics via the autocorrelation function has been emphasized in research into semiclassical (Van Vleck-Gutzwiller) methods; for example, see S. Tomsovic and E.J. Heller, Phys. Rev. Lett. 67, 664 (1991). Physically, the autocorrelation function is important because it is directly related to the ionization signal in pump-probe experiments.
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