This course focuses on the follwoing subjects:
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<br>1.	The 1st quantization formalism
<br>-	Exchange symmetry/Slater determinant wave functions
<br>-	Representation of operators in the formalism
<br>-	Occupation number representation
<br>-	Free electron gas
<br>-	Interacting electron systems
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<br>2.	The 2nd quantization formalism
<br>-	Fock space/Operators c and c+
<br>-	Kinetic energy operator in the 2nd quantized form
<br>-	Interaction energy operator in the 2nd quantized form
<br>-	Interaction energy in the 1st order perturbation theory
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<br>3.	Diagrammatic approach
<br>-	Interaction picture
<br>-	perturbation theory in interaction picture
<br>-	Feynman diagrams and rules
<br>-	Dyson’s equation/self-energy
<br>-	Hartree/Hartree-Fock approximations
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<br>4.	Equation-of-motion approach
<br>-	Chain structure
<br>-	Hartree-Fock approximation
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<br>5.	Transport in noninteracting mesoscopic systems
<br>-	Landauer-Buttiker formula of conductance
<br>-	Conductance quantization
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<br>6.	Tansport in interacting mesoscopic systems
<br>-	Sequential tunneling/Coulomb blockade
<br>-	Coherent tunneling
<br>-	Kondo effect
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<br>There will be homework assignments, midterm and final exams.
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<br>Textbook: Introduction to many-body quantum theory in condensed matter physics,
<br>by H. Bruus and K. Flensberg