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Quantum Mechanics 1925, Heisenberg, Schrödinger Electron discovered 1897, Thomson Atom model 1913, Bohr, Rutherford ??? High-Tc discovered 1986, Bednorz, Müller Bloch’s 2nd theorem: All theories of SC are wrong! Superconductivity discovered 1911, Kammerlingh Onnes Meissner effect 1933-35, London BCS theory 1957 Maxwell’s equations In materials Meissner - London Diamagnetism – Quantum Mechanics Momentum, velocity, magnetic field: Diamagnetic current, reduces the magnetic moment Quantized angular momentum: quantized What determines the current ? Ginzburg- Landau (1950): Equilibrium thermodynamics, Free energy Fermions - Bosons • • • • Fermions Electrons Pauli principle All have to behave differently • Bosons • Fotons, He4, even number of fermions • Inverse Pauli principle • Prefer to behave alike • Bose-kondensation What is ? Bardeen – Cooper – Schrieffer (1957) Degenerate electron gas Fermi-sphere Quasiparticles BCS-theory, Cooper pairs BCS ground state: Bose condensate of Cooper pairs Cooper pairs - Impurities s-, d-, p-waves Cooper pair is a pair of fermions: Exchanging particles should give minus ! Spin states: Orbital states: Singlet (s=0, odd) s (l=0, even), d (l=2, even) Triplet (s=1, even) p (l=1, odd) s d (strong repulsion) p (ferromagnetic) The Higgs particle