On the linear response of Bardeen–Cooper–Schrieffer superconductors II: superconducting alloys

1987 ◽  
Vol 65 (4) ◽  
pp. 392-394
Author(s):  
Robert Cleary
Keyword(s):  
Correlation Functions ◽  
Born Approximation ◽  
Linear Response ◽  
Wave Scattering ◽  
Point Charge ◽  
S Wave ◽  
Vertex Part ◽  
Transverse Waves ◽  
Magnetic Dipoles ◽  
Coulomb Potentials

The linear response to longitudinal modulations in a superconducting alloy is calculated for the general case. Extension to transverse waves, point-charge Coulomb potentials, and magnetic dipoles is trivial. All the results are limited to Born approximation, s-wave scattering by the impurities embedded in the superconductor. Derivation of the equations for linear response is the same as for clean superconductors, with the appearing correlation functions containing impurity-averaged vertex parts. Only one vertex part is evaluated here; the remaining ones are easy extensions of our calculation.

PLANE-WAVE APPROXIMATION FOR THE SCATTERING AMPLITUDE

1964 ◽  
Vol 42 (6) ◽  
pp. 1017-1029 ◽  
Author(s):  
H. H. Chan ◽  
M. Razavy
Keyword(s):  
Plane Wave ◽  
Born Approximation ◽  
Wave Scattering ◽  
Scattering Amplitude ◽  
Unitarity Condition ◽  
S Wave ◽  
Wave Approximation ◽  
High Energies ◽  
Infinite Sum ◽  
Plane Wave Approximation

Different methods of calculating the S-wave scattering amplitude using the plane-wave approximation are discussed. The resulting scattering amplitudes satisfy the unitarity condition and for high energies approach the Born approximation asymptotically. These methods are applied to the special class of potentials that can be expressed as an infinite sum of exponential potentials, and in particular to some potentials for which the exact solutions are known. It is found that imposing the unitarity condition on the Born approximation, in general, does not improve the result of the calculation.

Estimating the error in variational scattering calculations

1978 ◽  
Vol 56 (10) ◽  
pp. 1358-1364 ◽  
Author(s):  
J. W. Darewych ◽  
R. Pooran
Keyword(s):  
Wave Scattering ◽  
Exponential Potential ◽  
S Wave ◽  
Order Error ◽  
Absolute Value ◽  
First Order ◽  
Scattering Phase ◽  
Square Well ◽  
Scattering Phase Shifts ◽  
Made In

We derive bounds to the absolute value of the error that is made in variational estimates of scattering phase shifts. These bounds, like the variational estimates, are second order in 'small' quantities and are, in this respect, an improvement on similar but first-order error bounds derived previously by Bardsley, Gerjuoy, and Sukumar. The s-wave scattering by a square well potential, in the Born approximation, and by an exponential potential, using a many parameter trial function, are used to illustrate the results.

INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS

1992 ◽  
Vol 07 (05) ◽  
pp. 441-446 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Symmetric Space ◽  
Quantum Group ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Free Particle ◽  
Compact Quantum Group ◽  
Integrable Models ◽  
S Wave

We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).

scholarly journals Erratum to: s-wave and p-wave scattering in a cold gas of Na and Rb atoms

2011 ◽  
Vol 63 (3) ◽  
pp. 375-375
Author(s):  
H. Ouerdane ◽  
M. J. Jamieson
Keyword(s):  
Wave Scattering ◽  
P Wave ◽  
S Wave ◽  
Cold Gas

scholarly journals THE VIRTUAL BLACK HOLE IN 2D QUANTUM GRAVITY AND ITS RELEVANCE FOR THE S-MATRIX

2002 ◽  
Vol 17 (06n07) ◽  
pp. 989-992 ◽  
Author(s):  
DANIEL GRUMILLER
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Wave Scattering ◽  
Black Hole Mass ◽  
Hole Formation ◽  
S Wave ◽  
Scalar Matter ◽  
S Matrix ◽  
Tree Vertex ◽  
Classical Mechanism

As shown recently 2d quantum gravity theories — including spherically reduced Einstein-gravity — after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical mechanism of black hole formation should be contained in the tree approximation of the theory. This is shown to be the case for the scattering of two scalars through an intermediate state which by its effective black hole mass is identified as a "virtual black hole". We discuss the lowest order tree vertex for minimally and non-minimally coupled scalars and find a non-trivial finite S-matrix for gravitational s-wave scattering in the latter case.

scholarly journals s -wave scattering length of a Gaussian potential

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Peter Jeszenszki ◽  
Alexander Yu. Cherny ◽  
Joachim Brand
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
S Wave ◽  
Gaussian Potential
Sign in / Sign up

Export Citation Format

Share Document