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Video Segment
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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Video Segment
Second quantization of the Schrodinger field
This video segmentdiscusses the second quantization of the energy of the Schrodinger field.
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Video Segment
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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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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Video Segment
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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Time-dependent Schrodinger equation
This video segmentreviews the main properties of the time-dependent Schrodinger equation.
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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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Video Segment
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.
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Video Segment
Electromagnetic potentials and Coulomb gauge
This video segment introduces the Coulomb gauge that is the mathematical tool used to simplify the theoretical description of the electromagnetic field.