Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems: 54 (Lecture Notes in Physics Monographs, 54) - Hardcover

Suzuki, Yasuyuki; Varga, Kalman

Hardcover

ISBN 10: 3540651527 ISBN 13: 9783540651529

Publisher: Springer, 1998

Synopsis

There countlessnumberof of few area examples quantum mechanical constituent in subnuclear few nucleon quarks bodysystems: physics, or few cluster in nuclear smallatomsandmolecules physics, systems inatomic few electron dots insolidstate or physics quantum physics, Theintricatefeatureofthe isthat etc. few bodysystems theydevelop individual characters thenumber ofconstituent on depending parti cles.Themesonsand the andthe'Li alpha particle baryons, nucleus, theHeatomandtheBeatom have different or very physicalproper ties.Themost ofthesedifferences thecorrelated importantcauses are motion and the Pauli This principle. individuality requires specific for the solution of methods the few body Schr6dinger Ap equation. solutions whichassumerestrictedmodel mean proximate field, spaces, failto describethebehavior ofthe etc. few bodysystems. The ofthisbook is showhow find the the to to and goal energy functionof in unified wave a few particlesystem simple, approach. any The will be intheminimum state. system normally quantum energy As to findthis the is forewarned, however, acom state, groundstate, matter. The ofthe of plicated development present stage computer makesa technology,however, simpleapproachpossible:Searching very Without forthe state a information ground by "gambling". priori any the true random on states are ground state, completely generated. Providedthattherandom states after series of axe a generalenough, trials findsthe statein Thereader one a ground goodapproximation. findthis little there indeed a but are anumberoffine suspicious may in the trial and which makes the tricks error whole idea procedure reallypracticable. Before the reader with let us bombarding sophisticated details, demonstrate therandom search with an Let us to de example.

About this title

From the Back Cover

The quantum-mechanical few-body problem is of fundamental importance for all branches of microphysics and it has substantially broadened with the advent of modern computers. This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound-state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics. The main ingredients of the methodology are a wave-function expansion in terms of correlated Gaussians and an optimization of the variational trial function by stochastic sampling. The book is written for physicists and, especially, for graduate students interested in quantum few-body physics.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 3540651527
• ISBN 13: 9783540651529
• Binding: Hardcover
• Number of pages: 328