Graphical Method of Evaluation of Matrix Elements in the Second Quantization Representation

2001 ◽  
Vol 63 (4) ◽  
pp. 289-305 ◽  
Author(s):  
Gintaras Merkelis
Keyword(s):  
Graphical Method ◽  
Matrix Elements ◽  
Second Quantization ◽  
Method Of Evaluation ◽  
Quantization Representation

Graphical method for operating in second quantization

1994 ◽  
Vol 49 (5) ◽  
pp. 4217-4220
Author(s):  
C. Valdemoro ◽  
C. Pérez del Valle ◽  
E. Pérez-Romero ◽  
F. Colmenero
Keyword(s):  
Graphical Method ◽  
Second Quantization

scholarly journals On a Unified Theory of Twocentre Harmonic Oscillator Integrals I. The Onedimensional Oscillator

1971 ◽  
Vol 26 (6) ◽  
pp. 940-942
Author(s):  
W . Wltschel
Keyword(s):  
Harmonic Oscillator ◽  
Collision Energy ◽  
Unified Theory ◽  
Overlap Integrals ◽  
Second Quantization ◽  
Quantization Representation ◽  
Franck Condon

Abstract Twocentre harmonic oscillator overlap integrals, arbitrary transition integrals and collision energy etchange integrals for equal and different frequencies of the oscillators are contained in a generalized Franck-Condon-integral which is solved by operator methods in the second quantization representation.

scholarly journals Invariant Graphical Method for Electron-Atom Scattering Coupled-Channel Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-14
Author(s):  
J. B. Wang ◽  
A. T. Stelbovics
Keyword(s):  
Quantum Physics ◽  
Graphical Method ◽  
Matrix Elements ◽  
Many Body ◽  
Atom Scattering ◽  
Efficient Construction ◽  
Core Approximation ◽  
Potential Matrix ◽  
Complete Set ◽  
Coupled Channel

We present application examples of a graphical method for the efficient construction of potential matrix elements in quantum physics or quantum chemistry. The simplicity and power of this method are illustrated through several examples. In particular, a complete set of potential matrix elements for electron-lithium scattering are derived for the first time using this method, which removes the frozen core approximation adopted by previous studies. This method can be readily adapted to study other many-body quantum systems.

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