23 Result(s)
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Elementary Particles, Quantum Field Theory
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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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Quantization of the single modes
This video segment discusses the quantization of the electromagnetic field following the approach proposed by Paul Dirac in 1927.
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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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Second quantization of the Schrodinger field
This video segmentdiscusses the second quantization of the energy of the Schrodinger field.
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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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Second quantization at finite temperature
This video segmentdevelops the quantum field theory of non relativistic matter at finite temperature.
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Coherent states for bosons and fermions
This video segmentdevelops the theory of coherent states for bosonic and fermionic particles.
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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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Electromagnetic waves
This video segment is a brief review of the Maxwell equations, which describe the space-time evolution of the electromagnetic field, i.e. the light.
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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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Classical energy of the electromagnetic field
This video segment is a brief review of the electric and magnetic contributions to the total energy of the light.
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Ladder operators and their properties
This video segment gives technical details of the second quantization method of Dirac, which is based on ladder operators, i.e. creation and annihilation operators, acting of the Fock space.
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Dirac equation
This video segmentderives and discusses the Dirac equation.
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Time-dependent Schrodinger equation
This video segmentreviews the main properties of the time-dependent Schrodinger 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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Bosonic vs fermionic matter field
This video segmentanalyzes the ladder operators in the case of bosonic matter and in the case of fermionic matter.
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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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First vs second quantization
This video segmentcompares first quantization with second quantization for a generic interacting many-body system of identical massive and non relativistic particles.
