Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems, Volume 54There 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. |
Contents
1 Introduction | 1 |
2 Quantummechanical fewbody problems | 7 |
3 Introduction to variational methods | 21 |
4 Stochastic variational method | 39 |
5 Other methods to solve fewbody problems | 64 |
6 Variational trial functions | 75 |
7 Matrix elements for spherical Gaussians | 123 |
8 Small atoms and molecules | 149 |
Other editions - View all
Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems Yasuyuki Suzuki,Kalman Varga No preview available - 2014 |
Stochastic Variational Approach to Quantum-Mechanical Few-Body ..., Volume 54 Yasuyuki Suzuki,Kalman Varga No preview available - 1998 |
Common terms and phrases
alpha-particle approximation Atomic units baryons basis dimension basis function biexciton binding energy bound calculate the matrix center-of-mass motion central potential Clebsch-Gordan coefficients coefficient Complement components convergence correlated Gaussian correlated Gaussian-type geminals Coulomb defined denotes detB diagonal eigenstate eigenvalue electrons equation evaluation example excited expansion expressed in terms Faddeev few-body problems formula Gaussian basis given ground ground-state energy Hamiltonian integration interaction isospin Jacobi coordinate set kinetic energy magnetic field mass matrix element method momenta non-negative nonlinear parameters nuclear nucleons obtained operator optimization orbital angular momentum parity partial waves permutation Phys positron PS2 molecule quantum dots quantum numbers quark relation relative coordinates Sect single-particle solution space spatial spherical harmonics spin function Suzuki symmetric symmetric matrix Table tensor theorem three-body tion transformation trial function triton Varga variational wave function