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Video Segment
Hartree-Fock variational method for fermions
This video segmentapplies the variational principle to the study of interacting fermions adopting a multi-orbital many-body wave function.
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Klein-Gordon equation
This video segmentintroduces the quantization rules for relativistic systems and the Klein-Gordon equation.
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Non relativistic limit of the Dirac equation
This video segmentexplains the non relativistic limit of the Dirac equation.
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Dirac equation with a central potential
This video segmentconsiders the Dirac equation in a central potential and its conserved quantities.
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Identical quantum particles
This video segment introduces the problem of many identical quantum particles and the crucial difference between bosons and fermions.
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Uniform non-interacting gas of fermions
This video segment derives the ground state energy and the Fermi energy for a uniform gas of non-interacting fermions.
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Hartree variational method for bosons
This video segment applies the variational principle to the study of interacting bosons in the same single-particle orbital, i.e. a pure Bose-Einstein condensate.
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Dirac equation
This video segmentderives and discusses the Dirac equation.
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Pauli equation and the spin
This video segmentderives the Pauli equation from the Dirac equation in the presence of a magnetic field and the spin of the electron.
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Relativistic hydrogen atom and fine splitting
This video segment studies the relativistic hydrogen atom by using the Dirac equation discussing its energy spectrum and the so-called fine structure corrections to the Bohr spectrum.
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Non-interacting identical particles
This video segment discusses the ground state energy of non-interacting identical particles and the Fermi energy.
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Video Segment
The variational principle
This video segment states and proves the variational principle/theorem.