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Home > Art, Film & Photography > Quantum Monte Carlo: Variational Monte Carlo, Diffusion Monte Carlo, Auxiliary Field Monte Carlo, Reptation Monte Carlo
Quantum Monte Carlo: Variational Monte Carlo, Diffusion Monte Carlo, Auxiliary Field Monte Carlo, Reptation Monte Carlo

Quantum Monte Carlo: Variational Monte Carlo, Diffusion Monte Carlo, Auxiliary Field Monte Carlo, Reptation Monte Carlo


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About the Book

Chapters: Variational Monte Carlo, Diffusion Monte Carlo, Auxiliary Field Monte Carlo, Reptation Monte Carlo, Gaussian Quantum Monte Carlo, Path Integral Monte Carlo. Source: Wikipedia. Pages: 30. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Quantum Monte Carlo is a large class of computer algorithms that simulate quantum systems with the idea of solving the quantum many-body problem. They use, in one way or another, the Monte Carlo method to handle the many-dimensional integrals that arise. Quantum Monte Carlo allows a direct representation of many-body effects in the wave function, at the cost of statistical uncertainty that can be reduced with more simulation time. For bosons, there exist numerically exact and polynomial-scaling algorithms. For fermions, there exist very good approximations and numerically exact exponentially scaling quantum Monte Carlo algorithms, but none that are both. In principle, any physical system can be described by the many-body Schrodinger equation as long as the constituent particles are not moving "too" fast; that is, they are not moving near the speed of light. This includes the electrons in almost every material in the world, so if we could solve the Schrodinger equation, we could predict the behavior of any electronic system, which has important applications in fields from computers to biology. This also includes the nuclei in BoseEinstein condensate and superfluids such as liquid helium. The difficulty is that the Schrodinger equation involves a function of three times the number of particles and is difficult to solve even using parallel computing technology in a reasonable amount of time. Traditionally, theorists have approximated the many-body wave function as an antisymmetric function of one-body orbitals. This kind of formulation either limits t...More: http: //booksllc.net/?id=232013


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Product Details
  • ISBN-13: 9781158612130
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Variational Monte Carlo, Diffusion Monte Carlo, Auxiliary Field Monte Carlo, Reptation Monte Carlo
  • Width: 229 mm
  • ISBN-10: 1158612133
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 2 mm
  • Weight: 59 gr


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