Integral equations for Coulomb scattering wave functions and Coulomb asymptotic states

1985 ◽  
Vol 62 (1) ◽  
pp. 70-77 ◽  
Author(s):  
A. M. Mukhamedzhanov
Keyword(s):  
Integral Equations ◽  
Wave Functions ◽  
Coulomb Scattering ◽  
Scattering Wave

Momentum Representation of the Coulomb Scattering Wave Functions

1951 ◽  
Vol 83 (3) ◽  
pp. 667-668 ◽  
Author(s):  
E. Guth ◽  
C. J. Mullin
Keyword(s):  
Wave Functions ◽  
Coulomb Scattering ◽  
Momentum Representation ◽  
Scattering Wave

scholarly journals Completeness of the Coulomb scattering wave functions

2008 ◽  
Vol 37 (2) ◽  
pp. 185-192 ◽  
Author(s):  
A. M. Mukhamedzhanov ◽  
M. Akin
Keyword(s):  
Wave Functions ◽  
Coulomb Scattering ◽  
Scattering Wave

scholarly journals SCATTERING, GREEN’S FUNCTIONS AND SYMMETRIES IN A TOTAL SPACE OF A DIRAC MONOPOLE FIBRE BUNDLE

1991 ◽  
Vol 06 (04) ◽  
pp. 577-598 ◽  
Author(s):  
A.G. SAVINKOV ◽  
A.B. RYZHOV
Keyword(s):  
Green's Functions ◽  
Principal Bundle ◽  
Fibre Bundle ◽  
Green’S Functions ◽  
Wave Functions ◽  
Total Space ◽  
Dirac Monopole ◽  
Hidden Symmetries ◽  
Scattering Wave ◽  
A Charge

The scattering wave functions and Green’s functions were found in a total space of a Dirac monopole principal bundle. Also, hidden symmetries of a charge-Dirac monopole system and those joining the states relating to different topological charges n=2eg were found.

Integral equations and relations for Lamé functions and ellipsoidal wave functions

1968 ◽  
Vol 64 (1) ◽  
pp. 113-126 ◽  
Author(s):  
B. D. Sleeman
Keyword(s):  
Wave Function ◽  
Green’S Function ◽  
Integral Equations ◽  
Green's Function ◽  
Function Theory ◽  
Natural Generalization ◽  
Wave Functions ◽  
Linear Integral ◽  
First Time ◽  
Linear Integral Equations

AbstractNon-linear integral equations and relations, whose nuclei in all cases is the ‘potential’ Green's function, satisfied by Lamé polynomials and Lamé functions of the second kind are discussed. For these functions certain techniques of analysis are described and these find their natural generalization in ellipsoidal wave-function theory. Here similar integral equations are constructed for ellipsoidal wave functions of the first and third kinds, the nucleus in each case now being the ‘free space’ Green's function. The presence of ellipsoidal wave functions of the second kind is noted for the first time. Certain possible generalizations of the techniques and ideas involved in this paper are also discussed.

Singularity analysis ofN-body scattering wave functions

1979 ◽  
Vol 51 (4) ◽  
pp. 509-531 ◽  
Author(s):  
G. Cattapan ◽  
V. Vanzani
Keyword(s):  
Singularity Analysis ◽  
Wave Functions ◽  
Scattering Wave

Performance of a time‐independent scattering wave packet technique using real operators and wave functions

1996 ◽  
Vol 105 (19) ◽  
pp. 8690-8698 ◽  
Author(s):  
Geert‐Jan Kroes ◽  
Daniel Neuhauser
Keyword(s):  
Wave Packet ◽  
Wave Functions ◽  
Scattering Wave

INTEGRAL EQUATIONS FOR PARABOLOIDAL WAVE FUNCTIONS (I)

1964 ◽  
Vol 15 (1) ◽  
pp. 309-315 ◽  
Author(s):  
KATHLEEN M. URWTN
Keyword(s):  
Integral Equations ◽  
Wave Functions
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