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

	Preface
Ch. 1	Density Functional Theory	1
1	Introduction	1
2	What is density functional theory?	8
3	Kohn-Sham theory	13
4	Numerical methods for the Kohn-Sham equation	16
5	Some applications and limitations of DFT	21
6	Limitations of DFT	24
7	Time-dependent density functional theory: the equations	25
8	TDDFT: numerical aspects	34
9	Applications of TDDFT	39
Ch. 2	Microscopic Description of Quantum Liquids	49
1	Introduction	49
2	Microscopic description	54
3	Hypernetted-chain equations	63
4	Minimization of the energy: Optimal two-body correlation functions	81
5	Low excited states	87
6	A [superscript 3]He impurity in liquid [superscript 4]He	93
7	Variational description of Fermi systems	102
Ch. 3	The Coupled Cluster Method and its Applications	121
1	Introduction	122
2	The Coupled Cluster formalism	123
3	Approximation schemes	134
4	Applications to light nuclei	143
5	Helium droplets	163
Ch. 4	Experiments with a Rubidium Bose-Einstein Condensate	179
1	Introduction	179
2	Micromotion	181
3	BEC in 1D optical lattice	182
4	Condensate photoionization	186
Ch. 5	Theoretical Aspects of Bose-Einstein Condensation	191
1	Bosons and Condensation	191
2	BEC in [superscript 4]He	194
3	BEC in dilute systems	197
Ch. 6	Elementary Excitations and Dynamic Structure of Quantum Fluids	205
1	Introduction	205
2	Ground state of a quantum Bose fluid	208
3	Equation of motion method	214
4	Solving the continuity equations	221
5	CBF-approximation	224
6	The full solution	239
7	Dynamics of a single impurity	253
Ch. 7	Theory of Correlated Basis Functions	265
1	Introduction	265
2	Basics of CBF theory	268
3	Techniques for matrix elements	272
4	Interpretation of effective interactions	283
5	Infinite order CBF theory	298
6	Dynamics in correlated basis functions	315
Ch. 8	The Magnetic Susceptibility of Liquid [superscript 3]He	329
1	Introduction	329
2	The susceptibility of bulk liquid [superscript 3]He	330
3	Liquid [superscript 3]He confined in aerogel	334
4	Two-dimensional liquid [superscript 3]He	335
5	Conclusions	337
6	Acknowledgements	337
Ch. 9	The Hyperspherical Harmonic Method: A Review and Some Recent Developments	339
1	Introduction	339
2	Microscopic systems	341
3	Jacobi coordinates	342
4	Hyperspherical coordinates	345
5	Hyperspherical functions	347
6	The coupled equations	351
7	The hyperspherical harmonic expansion in momentum space	352
8	Results for the A = 3, 4 nuclei with the hyperspherical harmonic expansion	354
9	Modified hyperspherical harmonic expansions	356
10	Variational calculations for three- and four-nucleon scattering processes	365
11	Electro-weak reaction on few-nucleon systems	369
Ch. 10	The Nuclear Many-Body Problem	379
1	Introduction	379
2	The Hamiltonian	385
3	The AFDMC method	388
4	AFDMC applications to nucleon matter	396
5	Outlook and Conclusions	402
	Index	407