One‐body and two‐body operators on systems of identical particles

1982 ◽  
Vol 50 (2) ◽  
pp. 148-155 ◽  
Author(s):  
N. I. Greenberg ◽  
S. Raboy
Keyword(s):  
Identical Particles

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 Decay amplitudes to three hadrons from finite-volume matrix elements

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Maxwell T. Hansen ◽  
Fernando Romero-López ◽  
Stephen R. Sharpe
Keyword(s):  
Finite Volume ◽  
Decay Amplitude ◽  
Weak Decay ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Final State ◽  
Identical Particles ◽  
Hadron Decay ◽  
Finite State ◽  
Particle Decays

Abstract We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. The specific processes we discuss are the CP-violating K → 3π weak decay, the isospin-breaking η → 3π QCD transition, and the electromagnetic γ* → 3π amplitudes that enter the calculation of the hadronic vacuum polarization contribution to muonic g − 2.

Wavefunctions of identical particles

1978 ◽  
Vol 19 (4) ◽  
pp. 878-879 ◽  
Author(s):  
F. J. Bloore ◽  
S. J. Swarbrick
Keyword(s):  
Identical Particles

Wigner function for identical particles

2004 ◽  
Author(s):  
Caneellieri ◽  
Bordone ◽  
Bertoni ◽  
Ferrari ◽  
Jacoboni
Keyword(s):  
Wigner Function ◽  
Identical Particles

scholarly journals State-independent contextuality with identical particles

2013 ◽  
Vol 87 (2) ◽  
Author(s):  
Adán Cabello ◽  
Marcelo Terra Cunha
Keyword(s):  
Identical Particles

scholarly journals Formation of a columnar liquid crystal in a simple one-component system of particles

Soft Matter ◽  
2015 ◽  
Vol 11 (23) ◽  
pp. 4606-4613 ◽  
Author(s):  
Alfredo Metere ◽  
Sten Sarman ◽  
Tomas Oppelstrup ◽  
Mikhail Dzugutov
Keyword(s):  
Molecular Dynamics ◽  
Liquid Crystal ◽  
Molecular Dynamics Simulation ◽  
Dynamics Simulation ◽  
Spherically Symmetric ◽  
Identical Particles ◽  
Component System ◽  
Symmetric Potential ◽  
System Of Particles

We report a molecular dynamics simulation demonstrating that a columnar liquid crystal, commonly formed by disc-shaped molecules, can be formed by identical particles interactingviaa spherically symmetric potential.

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