Quantum Mechanics and Low-Temperature Thermodynamics of Many-Particle Systems

2013 ◽  
pp. 199-234
Keyword(s):  
Quantum Mechanics ◽  
Low Temperature ◽  
Particle Systems

Quantum Many-Particle Systems and Second Quantization

2019 ◽  
pp. 5-44
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Quantum Mechanics ◽  
Particle Physics ◽  
Mathematical Formulation ◽  
Particle Systems ◽  
Quantum Field ◽  
Second Quantization ◽  
Creation And Annihilation Operators ◽  
Quantum Matter ◽  
Interacting Systems ◽  
The Many

Chapter 2 provides a review of pertinent aspects of the quantum mechanics of systems composed of many particles. It focuses on the foundations of quantum many-particle physics, the many-particle Hilbert spaces to describe large assemblies of interacting systems composed of Bosons or Fermions, which lead to the versatile formalism of second quantization as a convenient and eminently practical language ubiquitous in the mathematical formulation of the theory of many-particle systems of quantum matter. The main objects in which the formalism of second quantization is expressed are the Bosonic or Fermionic creation and annihilation operators that become, in the position basis, the quantum field operators.

RELATIVISTIC QUANTUM MECHANICS OF THREE-PARTICLE SYSTEMS

2008 ◽  
Vol 17 (05) ◽  
pp. 895-903 ◽  
Author(s):  
MICHAEL G. FUDA
Keyword(s):  
Quantum Mechanics ◽  
Simple Model ◽  
Relativistic Quantum ◽  
Particle Systems ◽  
Relativistic Quantum Mechanics ◽  
Particle Model

A brief review of the Bakamjian–Thomas method for constructing Poincaré invariant models of few-particle systems is presented. An application of the method to a simple model of the coupled N – πN – ππN system is outlined. This three-particle model contains vertex interactions as well as renormalization contributions.

Novel Low-Temperature Behavior in Classical Many-Particle Systems

2009 ◽  
Vol 103 (5) ◽  
Author(s):  
Robert D. Batten ◽  
Frank H. Stillinger ◽  
Salvatore Torquato
Keyword(s):  
Low Temperature ◽  
Particle Systems ◽  
Temperature Behavior

scholarly journals Uma introdução à Teoria Quântica de muitas partículas aplicada a Física do Estado Sólido

1992 ◽  
Vol 14 (14) ◽  
pp. 35
Author(s):  
José Antônio Trindade Borges da Costa
Keyword(s):  
State Physics ◽  
Quantum Mechanics ◽  
Occupation Number ◽  
Particle Systems ◽  
Collective Excitations ◽  
Number Representation ◽  
Solid State Physics ◽  
General Representation ◽  
Second Quantization ◽  
The Many

Some fundamental concepts and mathematical tools of the quant um theory of many particle systems, which are indispensable to the study of solid state physics. are presented. The concepts of collective excitations and quasi-particles are stressed. Concerning the mathematical tools, Quantum Mechanics is presented in its general, representation independent formalism. The many-particle problem is approached in the occupation number representation, or second quantization. Finally, as an application the interaction between electrons and the vibrations of a crystal lattice, described in terms of elementary excitations of collective waves, i.e., phonons, is expressed and discussed within this framework.

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