L 2 SCATTERING THEORY AND STATIONARY STATE SCATTERING WAVE FUNCTION

1982 ◽  
Vol 2 (4) ◽  
pp. 437-450
Author(s):  
Min Qian
Keyword(s):  
Wave Function ◽  
Stationary State ◽  
Scattering Theory ◽  
Scattering Wave

scholarly journals THE MODEL OF SCATTERING OF NEUTRAL QUANTUM PARTICLE ON A NON-STATIONARY CURVE

2017 ◽  
Vol 19 (3) ◽  
pp. 85-89
Author(s):  
E.A. Vedutenko ◽  
S.V. Talalov
Keyword(s):  
Wave Function ◽  
Scattering Theory ◽  
Quantum Particle ◽  
Massive Particle ◽  
Relativistic Scattering Theory ◽  
Straight Line ◽  
Scattering Wave ◽  
Relativistic Scattering ◽  
Dynamical Correction ◽  
Stationary Perturbation

The model describing the scattering of neutral quantum massive particle on the evolving curve has been constructed by methods of non-relativistic scattering theory. The first "dynamical" correction for scattering wave function has been calculated for the case of small non-stationary perturbation of straight line.

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

scholarly journals A version of Runge's theorem for the Helmholtz equation with applications to scattering theory

1989 ◽  
Vol 32 (1) ◽  
pp. 107-119 ◽  
Author(s):  
R. L. Ochs
Keyword(s):  
Wave Function ◽  
Helmholtz Equation ◽  
Connected Domain ◽  
Scattering Theory ◽  
Polar Coordinates ◽  
Differentiable Functions ◽  
Simply Connected Domain ◽  
Image Position ◽  
Simply Connected

Let D be a bounded, simply connected domain in the plane R2 that is starlike with respect to the origin and has C2, α boundary, ∂D, described by the equation in polar coordinateswhere C2, α denotes the space of twice Hölder continuously differentiable functions of index α. In this paper, it is shown that any solution of the Helmholtz equationin D can be approximated in the space by an entire Herglotz wave functionwith kernel g ∈ L2[0,2π] having support in an interval [0, η] with η chosen arbitrarily in 0 > η < 2π.

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.

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.

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