Modern Physics: Quantum Mechanics (Winter 2008)
Standard Univ. - Modern Physics: Quantum Mechanics (Winter 2008). This course consists of 10 video lectures given by Professor Leonard Susskind. The topics covered in this course focus on quantum mechanics: 2 slit experiment, uncertainty principle, Hermitian operators, postulates of quantum mechanics, Dirac's delta function, Fourier transform between momentum and position states, photon polarization, and time evaluation of expectation value.
Lecture 1 | Modern Physics: Quantum Mechanics
Intro, 2 Slit Experiment, Uncertainty - 2 slit experiment, discussions on classical quantum behavior, uncertainty principle, vector spaces over the complex numbers.
Lecture 2 | Modern Physics: Quantum Mechanics
Vector Review, Basis, Dyads, Spaces - review of complex numbers, complex vector space, basis vectors, physical significance of spaces.
Lecture 3 | Modern Physics: Quantum Mechanics
Operators, Observables, Dirac Delta, Hermitian, Anti-Hermitian - mathematics of linear operators, Hermitian operators, postulates of quantum mechanics, Dirac's delta function.
Lecture 4 | Modern Physics: Quantum Mechanics
Probabilities, Momentum, Slit Experiment - the Dirac delta function, rules of probabilities for quantum mechanics, momentum of a particle moving on a circle, slit experiment review.
Lecture 5 | Modern Physics: Quantum Mechanics
Wave Function, Fourier Transform, Polarized Photon - integer periodicty of the wave function, identity operator, Fourier transform between momentum and position states.
Lecture 6 | Modern Physics: Quantum Mechanics
Photon Polarization, Circular, Angles, Hermitian, Probability - polarization at an arbitrary angle, polarization with imaginary numbers, expectation value.
Lecture 7 | Modern Physics: Quantum Mechanics
Photon Elliptical Polarzation, Phase Change, Unitary Operator - Hermitian operators, multiplication by a phase, change of state with time, mathematics of unitary operators.
Lecture 8 | Modern Physics: Quantum Mechanics
Time Evaluation, Unitary, Hamiltonian, Shrodinger - classical: Hamiltonian, Poisson brackets, example: time evaluation of photon polarization, time evaluation of expectation value.
Lecture 9 | Modern Physics: Quantum Mechanics
Schrodinger Derivation, Commutators, Poisson brackets, Black Body Radiation
Lecture 10 | Modern Physics: Quantum Mechanics
Harmonic Oscillator, Creation, Annihilation Operators
| Web... | Quantum Mechanics Lecture Notes Quantum Mechanics Lecture Notes Susskind Winter 2008. QM00 Contents. QM01 Intro, 2 Slit Experiment, Uncertainty. QM02 Vector Review, Basis, Dyads, Spaces. ... www.scribd.com/document_collections/2655178 |