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.
Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons ,
Xiao-Gang Wen Oxford U. Press, New York, 2004. $99.50 (505 pp.). ISBN 0-19-853094-3