scholarly journals An example in potential scattering illustrating the breakdown of asymptotic completeness

1975 ◽  
Vol 40 (2) ◽  
pp. 125-146 ◽  
Author(s):  
D. B. Pearson
Keyword(s):  
Potential Scattering ◽  
Asymptotic Completeness

Asymptotic completeness for quantum mechanical potential scattering

1978 ◽  
Vol 61 (3) ◽  
pp. 285-291 ◽  
Author(s):  
Volker Enss
Keyword(s):  
Potential Scattering ◽  
Asymptotic Completeness ◽  
Quantum Mechanical

Asymptotic completeness for quantum-mechanical potential scattering

1979 ◽  
Vol 119 (1) ◽  
pp. 117-132 ◽  
Author(s):  
Volker Enss
Keyword(s):  
Potential Scattering ◽  
Asymptotic Completeness ◽  
Quantum Mechanical

Single Subdynamics for potential scattering

2002 ◽  
Vol 13 (1) ◽  
pp. 9-34
Author(s):  
Michel De Haan ◽  
Claude D. George
Keyword(s):  
Potential Scattering

Electron-atom potential scattering assisted by a bichromatic elliptically polarized laser field

2017 ◽  
Vol 71 (10) ◽  
Author(s):  
Arman Korajac ◽  
Dino Habibović ◽  
Aner Čerkić ◽  
Mustafa Busuladžić ◽  
Dejan B. Milošević
Keyword(s):  
Laser Field ◽  
Potential Scattering ◽  
Electron Atom ◽  
Elliptically Polarized ◽  
Atom Potential

Sum rules in relativistic potential scattering in a strong laser field

1988 ◽  
Vol 66 (5-6) ◽  
pp. 265-269 ◽  
Author(s):  
F. Ehlotzky
Keyword(s):  
Laser Field ◽  
Sum Rules ◽  
Potential Scattering ◽  
Strong Laser Field ◽  
Strong Laser ◽  
Relativistic Potential

Potential scattering of electrons in the presence of intense laser fields using the Kramers-Henneberger transformation

1988 ◽  
Vol 37 (1) ◽  
pp. 98-105 ◽  
Author(s):  
R. Bhatt ◽  
B. Piraux ◽  
K. Burnett
Keyword(s):  
Potential Scattering ◽  
Intense Laser ◽  
Intense Laser Fields ◽  
Laser Fields

scholarly journals Electromagnetic Gauge Choice for Scattering of Schrödinger Particle

2019 ◽  
Vol 20 (11) ◽  
pp. 3633-3650
Author(s):  
Andrzej Herdegen
Keyword(s):  
Asymptotic Behavior ◽  
External Electromagnetic Field ◽  
Asymptotic Completeness ◽  
Free Evolution ◽  
Wave Operators ◽  
Radiation Fields ◽  
Mechanical Evolution ◽  
Scattering Wave ◽  
Free Fields

Abstract We consider a Schrödinger particle placed in an external electromagnetic field of the form typical for scattering settings in the field theory: $$F=F^\mathrm {ret}+F^\mathrm {in}=F^\mathrm {adv}+F^\mathrm {out}$$ F = F ret + F in = F adv + F out , where the current producing $$F^{\mathrm {ret}/\mathrm {adv}}$$ F ret / adv has the past and future asymptotes homogeneous of degree $$-3$$ - 3 , and the free fields $$F^{\mathrm {in}/\mathrm {out}}$$ F in / out are radiation fields produced by currents with similar asymptotic behavior. We show that with appropriate choice of electromagnetic gauge the particle has ‘in’ and ‘out’ states reached with no further modification of the asymptotic dynamics. We use a special quantum mechanical evolution ‘picture’ in which the free evolution operator has well-defined limits for $$t\rightarrow \pm \infty $$ t → ± ∞ , and thus the scattering wave operators do not need the free evolution counteraction. The existence of wave operators in this setting is established, but the proof of asymptotic completeness is not complete: more precise characterization of the asymptotic behavior of the particle for $$|\mathbf {x}|=|t|$$ | x | = | t | would be needed.

Asymptotic completeness for $N \leq 4$ particle systems with the Coulomb-type interactions

1993 ◽  
Vol 71 (1) ◽  
pp. 243-298 ◽  
Author(s):  
I. M. Sigal ◽  
A. Soffer
Keyword(s):  
Asymptotic Completeness ◽  
Particle Systems ◽  
Coulomb Type
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