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Title: Wave packet description of resonant states in potential scattering theory

Abstract

We propose a model for a resonant state as a super-position of the continuum eigenstates of the Hamiltonian. This description, in contrast to the presently existing models, (1) satisfies regularity at the origin; (2) is normalizable; (3) exhibits correct poles in the amplitude; and (4) has right features corresponding to a decaying state. However, this is achieved by assuming a narrow width and sacrificing an exact eigenvalue character.

Authors:
;
Publication Date:
Research Org.:
Banaras Hindu Univ., Varanasi, India
OSTI Identifier:
6522358
Alternate Identifier(s):
OSTI ID: 6522358
Resource Type:
Journal Article
Journal Name:
Hadronic J.; (United States)
Additional Journal Information:
Journal Volume: 2:1
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; POTENTIAL SCATTERING; RESONANCE; EIGENSTATES; EIGENVALUES; HAMILTONIAN FUNCTION; WAVE FUNCTIONS; ELASTIC SCATTERING; FUNCTIONS; SCATTERING 657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics

Citation Formats

Menon, V.J., and Lagu, A.V. Wave packet description of resonant states in potential scattering theory. United States: N. p., 1979. Web.
Menon, V.J., & Lagu, A.V. Wave packet description of resonant states in potential scattering theory. United States.
Menon, V.J., and Lagu, A.V. Thu . "Wave packet description of resonant states in potential scattering theory". United States.
@article{osti_6522358,
title = {Wave packet description of resonant states in potential scattering theory},
author = {Menon, V.J. and Lagu, A.V.},
abstractNote = {We propose a model for a resonant state as a super-position of the continuum eigenstates of the Hamiltonian. This description, in contrast to the presently existing models, (1) satisfies regularity at the origin; (2) is normalizable; (3) exhibits correct poles in the amplitude; and (4) has right features corresponding to a decaying state. However, this is achieved by assuming a narrow width and sacrificing an exact eigenvalue character.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 2:1,
place = {United States},
year = {1979},
month = {2}
}