|
|
|
1 | (6) |
|
2. Self-consistent quantum-field theory |
|
|
7 | (20) |
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2.1 Legendre transformation |
|
|
9 | (3) |
|
2.2 Perturbation series expansion |
|
|
12 | (5) |
|
2.3 Conserving approximations |
|
|
17 | (3) |
|
2.4 Two-particle functions and Ward identities |
|
|
20 | (7) |
|
3. Superconductivity and pairing of electrons in three dimensions |
|
|
27 | (46) |
|
3.1 Derivation of the self-consistent equations for a superfluid Fermi system with s-wave pairing |
|
|
31 | (15) |
|
3.2 Discussion of the self-consistent equations, weak- and strong-coupling limit |
|
|
46 | (15) |
|
3.3 Numerical results for T = T(c) and discussion |
|
|
61 | (12) |
|
4. Gauge transformation and bosonization |
|
|
73 | (44) |
|
4.1 Conventional bosonization for one- and higher-dimensional fermion systems |
|
|
76 | (5) |
|
4.2 Modification of the self-consistent quantum-field theory by gauge transformation |
|
|
81 | (20) |
|
4.3 Application to the Luttinger model |
|
|
101 | (10) |
|
4.4 Application to the independent-boson model |
|
|
111 | (6) |
|
5. Two-dimensional electron systems in the FQHE regime |
|
|
117 | (44) |
|
|
|
118 | (10) |
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5.2 General properties of the spectral functions for FQHE systems |
|
|
128 | (5) |
|
5.3 Modified SC-RPA theory for the two-dimensional electron system in a homogeneous magnetic field |
|
|
133 | (10) |
|
5.4 Electronic excitation spectrum of the partially filled lowest Landau level |
|
|
143 | (10) |
|
5.5 Magnetization of FQHE electron systems |
|
|
153 | (8) |
|
|
|
161 | (8) |
|
|
|
161 | (3) |
|
6.2 Interacting boson systems |
|
|
164 | (5) |
| References |
|
169 | (4) |
| Index |
|
173 | |
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