scholarly journals Quantum field theory for the three-body constrained lattice Bose gas. II. Application to the many-body problem

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
S. Diehl ◽  
M. Baranov ◽  
A. J. Daley ◽  
P. Zoller
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Body Problem ◽  
Bose Gas ◽  
Quantum Field ◽  
Many Body ◽  
The Many ◽  
Three Body

QLB for Quantum Many-Body and Quantum Field Theory

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Single Particle ◽  
Body Problem ◽  
Three Dimensions ◽  
Quantum Field ◽  
Many Body ◽  
Quantum Particles

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

Many-Body Problem in Quantum Field Theory

1957 ◽  
Vol 108 (1) ◽  
pp. 126-138 ◽  
Author(s):  
Abraham Klein ◽  
Charles Zemach
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Body Problem ◽  
Quantum Field ◽  
Many Body
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