Stochastic Variational Approach to Quantum-Mechanical Few-Body ProblemsSpringer Science & Business Media, 2003 M07 1 - 314 pages 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. |
Contents
| 1 | |
| 7 | |
3 Introduction to variational methods | 21 |
4 Stochastic variational method | 39 |
5 Other methods to solve fewbody problems | 64 |
6 Variational trial functions | 74 |
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 equal equation evaluation example excited expansion expressed in terms factor few-body problems formula Gaussian basis given ground ground-state energy Hamiltonian integration interaction isospin Jacobi coordinate set kinetic energy linear combination magnetic field mass matrix element method momenta non-negative nonlinear parameters Note nuclear nucleons obtained operator optimization orbital angular momentum overlap parity partial waves permutation Phys positron PS2 molecule quantum dots quantum numbers quark reduced relation relative coordinates Sect single-particle solution spatial spherical harmonics spin function spin-orbit symmetric symmetric matrix Table tensor theorem three-body tion transformation trial function triton variational wave function