N NS-TP402M: 'Statistical Field Theory’  Fall 2008 NEW!!!! 'All solutions of exercises posted on the website’ Contents: 16.09.08: Introduction and second quantization (Mahan) blackboard Reading material: Mahan and Bruus/Flensberg (Chapter 1) 16.09.08: Second quantization (my lecture notesSFT06one.pdf) - viewgraphs Additional reading : spin.pdf 23.09.08: Grassmann Algebra (Negele/Orland) – blackboard Reading material: Stoof (Chapter 2) and Negele/Orland (Chapter 1.5) 30.09.08: Coherent states for fermions and bosons (Negele/Orland) – viewgraphs Reading material: Negele/Orland (Chapter 1.5) 07.10.08: Functional integrals for fields (Stoof)Sec. 7.1, 7.2.1 – viewgraphs Reading material: path_integrals_particles.mdi 14.10.08: Evaluation Exercises: (see below) 21.10.08: Functional integrals for fields (Stoof) Sec. 7.2.2, 7.2.3, 7.3 – viewgraphs Reading material: (my lecture notes SFT06four.pdf) + Bruus/Flensberg (Chapter 8) 28.10.08: Green’s functions (my lecture notes SFT06fournew.pdf) + Sec. 8.2 (Stoof) – viewgraphs Reading material: Bruus/Flensberg(Chapter 11) 04.11.08: Midterm-exam SFT2008midtermexam.pdf 11.11.08: Dyson’s equation (my notes SFT06five.pdf,SFT06seven.pdf ) Hartree-Fock Approximation (8.4 Stoof) – viewgraphs Reading material: Bruus/Flensberg (Chapter 4.1-4.3) 18.11.08: Hubbard-Stratonovich transformation (8.6 Stoof, Hartree theory) Reading material: Hook and Hall, Solid State 13.5.1 plasma oscillations and Thomas –Fermi screening length 25.11.08: Hubbard-Stratonovich transformation (Chapter 8 Stoof, Fock theory and Hartree-Fock) Reading material: my notes SFT06six.pdf 02.12.08: Jellium model (end Chapter 8 Stoof ) Reading material: Jellium.pdf 09.12.08: Landau theory of phase transitions 16.12.08: Quantum phase transitions: examples in 2D QHE.pdf, SeminarQHE.pdf 23.12.08: Christmas (no course, no exercise session) 30.12.08: New year (no course, no exercise session) 06.01.09: Superfluidity: my notes SFT06three.pdf 06.01.09: Superfluidity:Chapter 11 Stoof, BEC.pdf Reading material: Leggett_superfluidity.pdf 15.01.09: Superconductivity: Superconductivity.pdf, BCS.pdf, BCSnotes.pdf, Chapter12 (Stoof) 20.01.09: Superconductivity exercises 27.01.09: Final Exam (from 14:00 to 17:00) Exercises: 09.09.08: Series 1: 2.1, 2.3, 2.4, 3.3 (from Stoof) +sft_exercises1.pdf 23.09.08: Series 2: SFT2008-23sep.pdf 30.09.08: Series 3: SFT2008-30sep.pdf 07.10.08: Series 4: SFT2008-07oct.pdf 14.10.08: Evaluation Exercises: SFT2008-14oct.pdfSFT2008-14octB.pdf 21.10.08: Series 5: SFT2008-21oct.pdf 28.10.08: Series 6: SFT2008-28oct.pdf 04.11.08: Midterm-exam SFT2008midtermexam.pdf 11.11.08: Series 7: 8.2, 8.3 from Stoof 18.11.08: Series 8: SFT2008-18nov.pdf 25.11.08: Series 9: SFT2008-25nov.pdf 02.12.08: Series 10: SFT2008-02dec.pdf 09.12.08: Series 11: 9.2 from Stoof 16.12.08: Series 12: SFT2008-16dec.pdf 23.12.08: Christmas holidays 30.12.08: New year holidays 06.01.09: lectures 13.01.09: Series 13: Exercises 11.4 and 11.6 from Stoof 20.01.09: Series 14: SFT2009-20jan.pdf Solutions: Series 1: SFT_solutions2008-9sep.pdf Series 2: SFT_solutions2008-23sep.pdf Series 3: SFT_solutions2008-30sep.pdf Series 4: SFT_solutions2008-07oct.pdf Evaluation Exercises: SFT_solutions2008-14oct.pdf,SFT_solutions2008-14octII.pdf Series 5: SFT_solutions2008-21oct.pdf Series 6: SFT_solutions2008-28octA.pdfSFT_solutions2008-28octB.pdf Series 7: SFT_solutions2008-11nov.pdf Series 8: SFT_solutions-18novA.pdfSFT_solutions-18novB.pdf Series 9: SFT_solutions25nov2008.pdf Series 10: sft_solutions2008-2dec.pdf Series 11: SFT_solutions2008-09dec.pdf Series 12: SFT_solutions2008-16dec.pdf Series 13: SFT_solutions2009-13jan.pdf Series 14: SFT_solutions2009-20janA.pdfSFT_solutions2009-20janB.pdf

NS-TP402M: 'Statistical Field Theory’  Fall 2007 Contents: 11.09.07: Introduction and second quantization (Mahan) – blackboard Reading material: Mahan and Bruus/Flensberg (Chapter 1) 18.09.07: Second quantization (my lecture notesSFT06one.pdf) - viewgraphs Additional reading : spin.pdf 25.09.07: Grassmann Algebra (Negele/Orland) – blackboard Reading material: Negele/Orland (Chapter 1.5) 02.10.07: Coherent states for fermions and bosons (Negele/Orland) – viewgraphs Reading material: Negele/Orland (Chapter 1.5) 09.10.07: Functional integrals for fields (Stoof)Sec. 8.1, 8.2.1 – viewgraphs Reading material: path_integrals_particles.mdi 16.10.07: Functional integrals for fields (Stoof) Sec. 8.2.2, 8.2.3, 8.3 – viewgraphs Reading material: (my lecture notes SFT06four.pdf) + Bruus/Flensberg (Chapter 8) 23.10.07: Green’s functions (my lecture notes SFT06fournew.pdf) + Sec. 9.2 (Stoof) – viewgraphs Reading material: Bruus/Flensberg(Chapter 11) 30.10.07: Training for midterm-exam: solving midterm-exam 2006 midtermexam06.pdf 06.11.07: Midterm-exam 2007: BBL 105B from 14:00 until 17:00 13.11.07: Dyson’s equation (my notes SFT06five.pdf,SFT06seven.pdf ) Hartree-Fock Approximation (9.4 Stoof) – viewgraphs Reading material: Bruus/Flensberg (Chapter 4.1-4.3) 20.11.07: Hubbard-Stratonovich transformation (9.5 Stoof, Hartree theory, part of jellium model) Reading material: Hook and Hall, Solid State 13.5.1 plasma oscillations and Thomas –Fermi screening length 27.11.07: Hubbard-Stratonovich transformation (end Chapter 9 Stoof, Fock theory and Hartree-Fock) Reading material: my notes SFT06six.pdf 04.12.07: Landau theory of phase transitions 11.12.06: Quantum phase transitions: examples in 2D QHE.pdf, SeminarQHE.pdf 18.12.06: Superfluidity: my notes SFT06three.pdf 25.12.06: Christmas (no course, no exercise session) 01.01.07: New year (no course, no exercise session) 08.01.07: Superfluidity and Superconductivity:Chapter 13 Stoof,Superconductivity.pdf, BEC.pdf Reading material: Leggett_superfluidity.pdf 15.01.07: Superconductivity (BCS) BCS.pdf, BCSnotes.pdf 18.01.07: Superconductivity (Chapter 14 - Stoof) 22.01.07: Training for final exam (1 problem from Stoof’s exam): 11:00 – 13:00 instead of lectures 29.01.07: Final Exam Exercises : Series 1: 2.1, 2.3, 2.4, 3.3 (from Stoof) +sft_exercises1.pdf Series 2: 3.2, 4.1, 4.2, 4.3 (from Stoof) +sft_exercises2.pdf Series 3: 6.1, 6.4, 6.5, 6.6 (from Stoof) + derive 2.36 from 2.30, 2.43 from 2.38, 2.55 from 2.49 (from SFT06one.pdf) Series 4: 6.7, 6.8, 7.1 (from Stoof) + closure relation for fermions and bosons Series 5: prove 7.12 and 7.13,sft_exercises5.pdf + exercise II from midterm exam 2006 Series 6: Derive 8.16 from 8.15, exercises 8.1, 8.2, check Jacobian in 8.20 (Stoof), imaginary time path integral Series 7: 2.2, 8.3, (from Stoof), show 8.31 using 8.30 and 8.27, prove 8.41, check proof Wick’s theorem (Fetter) Series 8: 9.2, end of midterm training (evt. 9.3 beginning) Series 9: 9.1, 9.3, solutions of mid-term exam 2007 Series 10: 9.4, 9.5 Series 11: series11.pdf Series 12: 10.2 Series 13: CDW exercise from Exam 2006 Series 14: Antiferromagnetism: Exam 2006, 13.8 Stoof script Series 15: 13.6 Series 16: Exam Stoof + Exam 2006 Solutions: Series 1: sftanswers1.pdf Series 2: sftanswers2.pdf Series 3: sftanswers3.pdf Series 4: sftanswers4.pdf Series 5: sftanswers5.pdf Series 6: sftanswers6.pdf Series 7: sftanswers7.pdf Series 8: midtermexam06_solutions.pdf Series 9: sftanswers9a.pdf, sftanswers9b.pdf Series 10: sftanswers10.pdf Series 11: sftanswers11.pdf Series 12: NS-TP402M: 'Statistical Field Theory’  Fall 2006 Contents: 12.09.06: Introduction and second quantization (Mahan) – blackboard Reading material: Mahan and Bruus/Flensberg (Chapter 1) 19.09.06: Second quantization (my lecture notesSFT06one.pdf) - viewgraphs Additional reading : spin.pdf 26.09.06: Grassmann Algebra (Negele/Orland) – blackboard Reading material: Negele/Orland (Chapter 1.5) 03.10.06: Coherent states for fermions and bosons (Negele/Orland) – viewgraphs Reading material: Negele/Orland (Chapter 1.5) 10.10.06: Functional integrals for fields (Stoof)Sec. 8.1, 8.2.1 – viewgraphs Reading material: path_integrals_particles.mdi 17.10.06: Functional integrals for fields (Stoof) Sec. 8.2.2, 8.2.3, 8.3 – viewgraphs Reading material: (my lecture notes SFT06four.pdf) + Bruus/Flensberg (Chapter 8) 24.10.06: Green’s functions (my lecture notes SFT06fournew.pdf) + Sec. 9.2 (Stoof) – viewgraphs Reading material: Bruus/Flensberg(Chapter 11) 31.10.06: Dyson’s equation (my notes SFT06five.pdf,SFT06seven.pdf ) Hartree-Fock Approximation (9.4 Stoof) – viewgraphs Reading material: Bruus/Flensberg (Chapter 4.1-4.3) 07.11.06: Exam: rooms MIN 012, MIN 016. Time: 14:00 – 17:00. Material: until Feynman diagrams Exam: midtermexam06.pdf and solutions: midtermexam06_solutions.pdf 14.11.06: Hubbard-Stratonovich transformation (9.5 Stoof, Hartree theory, part of jellium model) Reading material: Hook and Hall, Solid State 13.5.1 plasma oscillations and Thomas –Fermi screening length 21.11.06: Hubbard-Stratonovich transformation (end Chapter 9 Stoof, Fock theory and Hartree-Fock) Reading material: my notes SFT06six.pdf 28.11.06: Landau theory of phase transitions 05.12.06: Quantum phase transitions: examples in 2D QHE.pdf, SeminarQHE.pdf 19.12.06: Superfluidity: (Stoof) begin Reading material: my notes SFT06three.pdf 26.12.06: Christmas (no course, no exercise session) 02.01.07: New year (no course, no exercise session) 09.01.07: Superfluidity and Superconductivity: SFT06three.pdf,Superconductivity.pdf, BEC.pdf 16.01.07: Superconductivity (BCS) BCS.pdf, BCSnotes.pdf 22.01.07: Superconductivity (high-Tc) (excepcionally on Monday, Min.2.11 at 13:15) Reading material: Leggett_superfluidity.pdf 25.01.07: Exceptional exercise session to replace the one from 22.01 and 23.01, Min.2.11 from 11:00 – 13:00 30.01.07: Final exam (Min.012, Min. 016), from 14:00 – 17:00 Examsolutions.pdf Exercises : Series 1: 2.1, 2.3, 2.4, 3.3 (from Stoof) +sft_exercises1.pdf Series 2: 3.2, 4.1, 4.2, 4.3 (from Stoof) +sft_exercises2.pdf Series 3: 6.1, 6.4, 6.5, 6.6 (from Stoof) Series 4: 6.7, 6.8, 7.1 (from Stoof) + derive 2.36 from 2.30, 2.43 from 2.38, 2.55 from 2.49 (from SFT06one.pdf) Series 5: closure relation for fermions and bosons, prove 7.12 and 7.13, expression for bosons sft_exercises5.pdf Series 6: Derive 8.16 from 8.15, exercises 8.1, 8.2, derive Jacobian in 8.20 (Stoof) Series 7: 2.2, 8.3, (from Stoof), show 8.31 using 8.30 and 8.27, prove 8.41, check proof Wick’s theorem (Fetter) Series 8: 9.1, 9.2, 9.3, derive 1.22 (my new lecture notes Green’s functions), fermions (to be added) Series 9: sft_exercises9.pdf Series 10: 9.4, derive Eq. 9.63, check formula page 119, Green’s function 9.55 Series 11: 9.5, beginning of HF theory for atomic Fermi gas Series 12: HF theory for atomic Fermi gas (end), 10.2 (from Stoof) Series 13: sft_exercises13.pdf Series 14: 13.5 (from Stoof) Series 15: 13.7 (from Stoof) Solutions of exercises: