A single Lanczos propagation method for calculating transition amplitudes

1999 ◽  
Vol 111 (22) ◽  
pp. 9944-9951 ◽  
Author(s):  
Rongqing Chen ◽  
Hua Guo
Keyword(s):  
Transition Amplitudes

scholarly journals Reducing a Class of Two-Dimensional Integrals to One-Dimension with an Application to Gaussian Transforms

Atoms ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 53
Author(s):  
Jack C. Straton
Keyword(s):  
Quantum Theory ◽  
Arbitrary Function ◽  
Plane Waves ◽  
Wave Functions ◽  
One Dimension ◽  
Two Dimensional ◽  
Transition Amplitudes ◽  
Multidimensional Integrals ◽  
Coulomb Potentials

Quantum theory is awash in multidimensional integrals that contain exponentials in the integration variables, their inverses, and inverse polynomials of those variables. The present paper introduces a means to reduce pairs of such integrals to one dimension when the integrand contains powers multiplied by an arbitrary function of xy/(x+y) multiplying various combinations of exponentials. In some cases these exponentials arise directly from transition-amplitudes involving products of plane waves, hydrogenic wave functions, and Yukawa and/or Coulomb potentials. In other cases these exponentials arise from Gaussian transforms of such functions.

Time reversal in field theory

1955 ◽  
Vol 231 (1187) ◽  
pp. 479-495 ◽  
Keyword(s):  
Field Theory ◽  
Time Reversal ◽  
First Principles ◽  
Relativistic Invariance ◽  
Quantized Fields ◽  
Transition Amplitudes

The idea of reversibility in time as applied to quantized fields is expounded from first principles. It is shown that in the usual theories reversibility of a certain kind is a concomitant of relativistic invariance and symmetry in space. Finally the relations between transition amplitudes consequent on the reversibility are derived.

Isospin splitting of transition amplitudes from photoproduction of eta mesons on deuterium

1996 ◽  
Vol 36 ◽  
pp. 131-136
Author(s):  
P. Hoffman-Rothe ◽  
E. Hourany ◽  
M. Breuer ◽  
J.-P. Didelez ◽  
M. Rigney ◽  
...  
Keyword(s):  
Eta Mesons ◽  
Isospin Splitting ◽  
Transition Amplitudes

scholarly journals The Kaon B-parameter and K-π and K-ππ transition amplitudes on the lattice

1988 ◽  
Vol 306 (4) ◽  
pp. 677-696 ◽  
Author(s):  
M.B. Gavela ◽  
L. Maiani ◽  
S. Petrarca ◽  
F. Rapuano ◽  
G. Martinelli ◽  
...  
Keyword(s):  
Transition Amplitudes
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