Superfluidity and superconductivity

actorrattleUrban and Civil

Nov 15, 2013 (3 years and 11 months ago)

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Superfluidity and superconductivity


1.
Condensates and macroscopic coherence:



-
an
i
deal Bose gas,
the phenomenon of the
Bose
-
Einstein condensation

(BEC)



-
an
imperfect Bose gas
, one
-
particle density matrix and BEC


-
superfluidity, Landau criterion


-
s
uperconductivity, Kammerling
-
Onnes discovery and Meissner effect

-
macroscopic coherence
,

macroscopic wave function

(the concept of the order
parameter) and the concept of the fermionic condensate


-
London theory
, the magnetic penetration depth

-
Ginzburg
-
La
ndau

(GL)

formalism, the coherence length
, the GL parameter, the
type I and type II superconductors


2. Superfluidity


-
Bogoliubov model of a weakly interacting Bose gas
, the Bogoliubov
transformation


-
strongly
-
interacting
Bose
gas


-
off
-
diagonal long ra
nge order and density matr
ices


3. Superconductivity



-
the Cooper problem


-
electron
-
phonon coupling

-
the Bardeen
-
Cooper
-
Schrieffer

(BCS)

theory,
the BCS
ansatz for the many
-
body
wave function and variational principle, excitations and
the BCS
energy gap

-
nonuniform problems in superconductivity, Bogoliubov
-
de Gennes equations


4. Superfluid
3
He and unconventional superconductors



-
Fermi
-
liquid theory


-
singlet and triplet pairing

and the related pair interactions

-
superfluidity in
3
He


-
unconventional s
uperconductors and unconventional order parameters


-
multiband superconductivity and the corresponding GL theory


I am planning two examinations in the process of the course and the final examination.