scholarly journals On-shell representations of two-body transition amplitudes: Single external current

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Raúl A. Briceño ◽  
Andrew W. Jackura ◽  
Felipe G. Ortega-Gama ◽  
Keegan H. Sherman
Keyword(s):  
External Current ◽  
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.

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

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.

scholarly journals Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

2016 ◽  
Vol 31 (12) ◽  
pp. 1650070 ◽  
Author(s):  
G. B. de Gracia ◽  
G. P. de Brito
Keyword(s):  
Vector Field ◽  
Potential Energy ◽  
Nonrelativistic Limit ◽  
External Current ◽  
Interparticle Potential ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Rank 2 ◽  
Electromagnetic Models ◽  
Dual Models

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives and antisymmetric rank-2 tensors, are considered as well.

Current-induced reordering phase transitions of vortex matter in 3D-layered superconductors

2018 ◽  
Vol 32 (25) ◽  
pp. 1850281 ◽  
Author(s):  
Qingmiao Nie ◽  
Haibin Li
Keyword(s):  
Phase Transitions ◽  
Thermal Noise ◽  
Vortex Lattice ◽  
Three Dimensional ◽  
Xy Model ◽  
Vortex Matter ◽  
Nonequilibrium Phase Transitions ◽  
External Current ◽  
Layered Superconductors ◽  
Pinning Potential

Nonequilibrium phase transitions of vortex matter with a strong random pinning potential in layered superconductors are investigated by the three-dimensional frustrated anisotropic XY model and resistively-shunted junction dynamics at low, middle and high-temperatures, respectively. It is found that a disorder to order phase transition driven by an external current can be obtained at a low-temperature, however, a reordering configuration does not occur at a high-temperature. With the competition between thermal noise, disorder pins and current, the vortex matter can even show the reordering process twice at an intermediate temperature, giving a clear evidence of dc driven vortex lattice reorganization.

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
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