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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.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)

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    Video Segment

    Klein-Gordon equation

    This video segmentintroduces the quantization rules for relativistic systems and the Klein-Gordon equation.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    Non relativistic limit of the Dirac equation

    This video segmentexplains the non relativistic limit of the Dirac equation.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    Dirac equation with a central potential

    This video segmentconsiders the Dirac equation in a central potential and its conserved quantities.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    Identical quantum particles

    This video segment introduces the problem of many identical quantum particles and the crucial difference between bosons and fermions.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)

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    Video Segment

    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.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)

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    Video Segment

    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.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)

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    Video Segment

    Dirac equation

    This video segmentderives and discusses the Dirac equation.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    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.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    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.

    Luca Salasnich in Quantum Physics of Light and Matter - Relativistic Wave Equations (2020)

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    Video Segment

    Non-interacting identical particles

    This video segment discusses the ground state energy of non-interacting identical particles and the Fermi energy.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)

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    Video Segment

    The variational principle

    This video segment states and proves the variational principle/theorem.

    Luca Salasnich in Quantum Physics of Light and Matter - Quantum Many-Body Systems (2020)