Many Particle Orbits – Statistics and Second Quantization

1995 ◽  
pp. 311-342
Keyword(s):  
Second Quantization ◽  
Particle Orbits

Identical Particles and Second Quantization: Occupation Number Representation

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Occupation Number ◽  
Annihilation Operator ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Number Representation ◽  
Second Quantization ◽  
Identical Particles ◽  
Fundamental Properties ◽  
Minimum Uncertainty ◽  
Creation Operators

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.

scholarly journals The relation between wave asymmetry and particle orbits analysed by Slepian models

2021 ◽  
Vol 924 ◽  
Author(s):  
Georg Lindgren ◽  
Marc Prevosto
Keyword(s):  
Particle Orbits

Abstract

scholarly journals Stability of particle orbits

1987 ◽  
Vol 43 (1-4) ◽  
pp. 163-176
Author(s):  
E. Keil
Keyword(s):  
Particle Orbits

General statistics, second quantization and quarks

1984 ◽  
Vol 79 (1) ◽  
pp. 107-126 ◽  
Author(s):  
M. Cattani ◽  
N. C. Fernandes
Keyword(s):  
Second Quantization
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