Introduction to Modern Methods of Quantum Many-Body Theory and Their Applications

, by Fabrocini, Adelchi; Fantoni, Stefano; Krotscheck, Eckhard; Fabrocini, Adelchi; Fantoni, Stefano

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ISBN: 9789812380692 | 9812380698
Cover: Hardcover
Copyright: 11/1/2002

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Contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories--the methods of density functional theory, coupled cluster theory, and correlated basis functions--in their widest sense.

Preface
Density Functional Theory	p. 1
Introduction	p. 1
What is density functional theory?	p. 8
Kohn-Sham theory	p. 13
Numerical methods for the Kohn-Sham equation	p. 16
Some applications and limitations of DFT	p. 21
Limitations of DFT	p. 24
Time-dependent density functional theory: the equations	p. 25
TDDFT: numerical aspects	p. 34
Applications of TDDFT	p. 39
Microscopic Description of Quantum Liquids	p. 49
Introduction	p. 49
Microscopic description	p. 54
Hypernetted-chain equations	p. 63
Minimization of the energy: Optimal two-body correlation functions	p. 81
Low excited states	p. 87
A [superscript 3]He impurity in liquid [superscript 4]He	p. 93
Variational description of Fermi systems	p. 102
The Coupled Cluster Method and its Applications	p. 121
Introduction	p. 122
The Coupled Cluster formalism	p. 123
Approximation schemes	p. 134
Applications to light nuclei	p. 143
Helium droplets	p. 163
Experiments with a Rubidium Bose-Einstein Condensate	p. 179
Introduction	p. 179
Micromotion	p. 181
BEC in 1D optical lattice	p. 182
Condensate photoionization	p. 186
Theoretical Aspects of Bose-Einstein Condensation	p. 191
Bosons and Condensation	p. 191
BEC in [superscript 4]He	p. 194
BEC in dilute systems	p. 197
Elementary Excitations and Dynamic Structure of Quantum Fluids	p. 205
Introduction	p. 205
Ground state of a quantum Bose fluid	p. 208
Equation of motion method	p. 214
Solving the continuity equations	p. 221
CBF-approximation	p. 224
The full solution	p. 239
Dynamics of a single impurity	p. 253
Theory of Correlated Basis Functions	p. 265
Introduction	p. 265
Basics of CBF theory	p. 268
Techniques for matrix elements	p. 272
Interpretation of effective interactions	p. 283
Infinite order CBF theory	p. 298
Dynamics in correlated basis functions	p. 315
The Magnetic Susceptibility of Liquid [superscript 3]He	p. 329
Introduction	p. 329
The susceptibility of bulk liquid [superscript 3]He	p. 330
Liquid [superscript 3]He confined in aerogel	p. 334
Two-dimensional liquid [superscript 3]He	p. 335
Conclusions	p. 337
Acknowledgements	p. 337
The Hyperspherical Harmonic Method: A Review and Some Recent Developments	p. 339
Introduction	p. 339
Microscopic systems	p. 341
Jacobi coordinates	p. 342
Hyperspherical coordinates	p. 345
Hyperspherical functions	p. 347
The coupled equations	p. 351
The hyperspherical harmonic expansion in momentum space	p. 352
Results for the A = 3, 4 nuclei with the hyperspherical harmonic expansion	p. 354
Modified hyperspherical harmonic expansions	p. 356
Variational calculations for three- and four-nucleon scattering processes	p. 365
Electro-weak reaction on few-nucleon systems	p. 369
The Nuclear Many-Body Problem	p. 379
Introduction	p. 379
The Hamiltonian	p. 385
The AFDMC method	p. 388
AFDMC applications to nucleon matter	p. 396
Outlook and Conclusions	p. 402
Index	p. 407
Table of Contents provided by Blackwell. All Rights Reserved.

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Introduction to Modern Methods of Quantum Many-Body Theory and Their Applications

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