Tutorial and homework problems for Advanced Quantum Mechanics of Many-Body Systems 2020-21
Problem 1
15/10/20
What is dimension of bra and ket?
bra-ket-dimension-complete.pdf
Problem 2
15/10/20
Harmonic oscillator - algebraic method
harmonic-oscilator-complete.pdf
Problem 1
22/10/20
Spin singlet and measurements
spin-singlet-complete.pdf
Problem 2
22/10/20
Chain of atoms solved directly
chain-of-atoms-complete.pdf
Problem 3
22/10/20
Factorization method in quantum mechanics - general theory
factoriation-method-complete.pdf
Problem 4
22/10/20
Factorization method in quantum mechanics - harmonic oscillator
factorization-harmonic-oscillator-complete.pdf
Problem 5
22/10/20
Factorization method in quantum mechanics - infinite quantum well
factorization-quantum-well-complete.pdf
Problem 6
29/10/20
(Anti)Symmetrization operator as a projector
symmetrization-projector-complete.pdf
Problem 7
29/10/20
Two bosons in a harmonic trap
two-bosons-harmonic-trap-complete.pdf
Problem 8
29/10/20
Two electrons in an infinite quantum well
two-electrons-in-infinite-wel-complete.pdf
two-electrons-extra-complete.pdf
tensor-product.pdf
Problem 9
04/11/20
Reduced density matrix
reduced-density-matrix-complete.pdf
statistical-operator-extra-complete.pdf
Problem 10
04/11/20
Normalization of symmetrized states
normalization-symmetrized-states-complete.pdf
Problem 11
04/11/20
Three non-interacting bosons
three-bosons-complete.pdf
Problem 12
19/11/20
Three non-interacting fermions
three-fermions-complete.pdf
Problem 13
19/11/20
Spin operator in second quantized version
spin-complete.pdf
Problem 14
19/11/20
Kinetic energy operator in second quantized version
kinetic-energy-complete.pdf
Problem 15
19/11/20
Density operator in second quantized version
density-complete.pdf
Problem 16
26/11/20
Canonical quantization of vibrating string
string-quantum-complete.pdf
Problem 17
03/12/20
Ground state of ideal fermions
ideal-fermions-complete.pdf
Problem 18
03/12/20
Pauli paramagnetism
pauli-paramagnetism-complete.pdf
Problem 19
10/12/20
Casimir effect
Casimir-complete.pdf
Problem 20
17/12/20
Cooper pair problem
Cooper-pair.pdf
Problem 21
07/01/21
BCS variational ground state
BCS-variational.pdf
Problem 22
07/01/21 and 14/01/21
BCS Bogoliubov transformation and excitations
BCS-Bogoliubov.pdf
Problem 23
14/01/21
BCS wave function - coherence and gauge symmetry
BCS-wave-function-gauge-cohrence.pdf
Problem 24
21/01/21
Kubo formulae for electric conductivity and gauge invariance
Kubo-conductivity.pdf
Problem 25
28/01/21
Anderson-Fano-Friedrichs-Lee model within Green functions
siam.pdf
Mid-Term exam problem
11/01/21
Variational solution of the Kondo problem
Kondo-siglet-variational-solution-110121.pdf
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