Extra nodes and the phase shift of the scattering wave function for a nonlocal potential

1977 ◽  
Vol 15 (5) ◽  
pp. 1623-1635 ◽  
Author(s):  
B. Bagchi ◽  
T. O. Krause ◽  
B. Mulligan
Keyword(s):  
Wave Function ◽  
Phase Shift ◽  
Nonlocal Potential ◽  
Scattering Wave

scholarly journals Stabilized scattering wave-function calculations using the Lippmann-Schwinger equation for long conductor systems

2011 ◽  
Vol 84 (11) ◽  
Author(s):  
Shigeru Tsukamoto ◽  
Yoshiyuki Egami ◽  
Kikuji Hirose ◽  
Stefan Blügel
Keyword(s):  
Wave Function ◽  
Scattering Wave

The 1S0 two-nucleon T matrix and the interior wave function

1976 ◽  
Vol 54 (22) ◽  
pp. 2225-2239 ◽  
Author(s):  
R. J. W. Hodgson ◽  
J. Tan
Keyword(s):  
Wave Function ◽  
Nuclear Matter ◽  
Symmetric Function ◽  
Body Wave ◽  
Binding Energies ◽  
Strongly Correlated ◽  
Scattering Wave ◽  
T Matrix

The fully off-shell T matrix is generated from a real symmetric function σ(k,k′) which in turn can be obtained from a knowledge of the two-body wave function in the interaction interior. The resulting T matrices are employed to compute the binding energies of 16O, 40Ca, and nuclear matter. Limiting the two-body wave function to physically acceptable forms limits the allowed σ functions. A 'difference integral' is defined in terms of the two-body scattering wave function, which seems to be strongly correlated with the binding energies.

Phase-shift- vs wave-function-equivalent polarization potentials

1981 ◽  
Vol 23 (2) ◽  
pp. 926-927 ◽  
Author(s):  
M. S. Hussein ◽  
M. P. Pato ◽  
L. F. Canto ◽  
R. Donangelo
Keyword(s):  
Wave Function ◽  
Phase Shift

Changement de phase dans un champ de gravitation: Possibilité de détection interférentielle

1976 ◽  
Vol 54 (11) ◽  
pp. 1129-1133 ◽  
Author(s):  
B. Linet ◽  
P. Tourrenc
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Electromagnetic Wave ◽  
Phase Shift ◽  
Gravitational Waves ◽  
Linear Time ◽  
Eikonal Approximation ◽  
Resonant Effect ◽  
Gravitational Disturbance ◽  
Time Dependance

We calculate the phase shift of a quantum mechanics wave function and of an electromagnetic wave produced by any gravitational disturbance using the eikonal approximation. We examine the best conditions for detection of gravitational waves. In particular, we establish that any resonant effect has a linear time dependance.

scholarly journals A QUANTUM BRST–ANTI-BRST APPROACH TO CLASSICAL INTEGRABLE SYSTEMS

2004 ◽  
Vol 19 (09) ◽  
pp. 693-702 ◽  
Author(s):  
MICHAEL CHESTERMAN ◽  
MARCELO B. SILKA
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
Inverse Scattering ◽  
Integrable Systems ◽  
Classical Mechanics ◽  
Lax Pair ◽  
Liouville Integrability ◽  
Lax Equation ◽  
Scattering Wave ◽  
Classical Integrable

We reformulate the conditions of Liouville integrability in the language of Gozzi et al.'s quantum BRST–anti-BRST description of classical mechanics. The Das–Okubo geometrical Lax equation is particularly suited for this approach. We find that the Lax pair and inverse scattering wave function appear naturally in certain sectors of the quantum theory.

Calculation of Zeff for low-energy positron scattering by the hydrogen molecular ion

1996 ◽  
Vol 74 (7-8) ◽  
pp. 501-504 ◽  
Author(s):  
E. A. G. Armour ◽  
J. M. Carr
Keyword(s):  
Wave Function ◽  
Phase Shift ◽  
Variational Method ◽  
Partial Wave ◽  
Born Approximation ◽  
Low Energy ◽  
Positron Scattering ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion ◽  
Coulomb Phase

The Kohn variational method has recently been applied to the calculation of the addition to the Coulomb phase shift, in positron scattering, by the hydrogen molecular ion below the positronium-formation threshold at 9.45 eV. In this paper the wave function obtained for the lowest spheroidal partial wave of [Formula: see text] symmetry is used to calculate the contribution to Zeff from this symmetry. The results are significantly larger than those obtained using the Coulomb–Born approximation.

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