Quantum Physics I
About Course
An expert-level course from MIT OpenCourseWare on Quantum Physics, covering the fundamental principles of quantum mechanics, wave-particle duality, Schrödinger’s equation, and the uncertainty principle.
Course Content
Quantum Physics I
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Quantum mechanics as a framework. Defining linearity
17:49 -
Linearity and nonlinear theories. Schrödinger’s equation
10:02 -
Necessity of complex numbers
07:38 -
Photons and the loss of determinism
17:21 -
The nature of superposition. Mach-Zehnder interferometer
14:31 -
Polarization of light. Basis states
16:15 -
The state vector and its components
17:10 -
Operators and their role in quantum mechanics
14:43 -
Inner products. Adjoint and Hermitian operators
11:28 -
Measurement and the collapse of the state vector
10:27 -
The commutator. Compatible and incompatible observables
17:39 -
De Broglie waves and the Schrödinger equation
14:37 -
Wave packets and the uncertainty principle
17:24 -
The free particle Schrödinger equation
12:43 -
Probability density and probability current
12:27 -
Separation of variables and stationary states
17:27 -
The infinite square well
16:15 -
The finite square well: Bound states
21:22 -
The finite square well: Scattering states
18:11 -
The harmonic oscillator: Algebraic method
22:45 -
The harmonic oscillator: Analytic method
20:14 -
The Dirac delta function potential
17:39 -
Free particle scattering and the T-matrix
15:58 -
Scattering from a potential step
16:12 -
The tunneling effect
15:21 -
Properties of Hermitian operators. Eigenvalues and eigenfunctions
14:23 -
Generalized statistical interpretation and the uncertainty principle
19:15 -
Hilbert space and the bra-ket notation
16:42 -
Observables and operators in bra-ket notation
14:15 -
Change of basis and the identity operator
13:37 -
Position and momentum operators in bra-ket notation
18:22 -
Schrödinger equation in 3D and spherical coordinates
16:10 -
Angular momentum operators and their commutation relations
14:55 -
Eigenvalues and eigenfunctions of L^2 and Lz
18:12 -
The hydrogen atom: Radial equation
21:18 -
The hydrogen atom: Energy levels and wavefunctions
19:43 -
Electron spin and the Pauli matrices
17:58 -
Addition of angular momentum
16:48 -
Identical particles: Bosons and fermions
14:15 -
The Pauli exclusion principle and the periodic table
18:32 -
Time-independent perturbation theory: Non-degenerate case
17:10 -
Time-independent perturbation theory: Degenerate case
16:15 -
The fine structure of hydrogen
19:43 -
The Zeeman effect
14:23 -
Hyperfine splitting in hydrogen
15:58 -
The variational principle
16:12 -
The WKB approximation
17:39 -
Time-dependent perturbation theory
18:22 -
Emission and absorption of radiation
16:10 -
Spontaneous emission and selection rules
14:55 -
The adiabatic approximation
18:12 -
Berry’s phase
21:18 -
Scattering: Partial wave analysis
19:43 -
The Born approximation
17:58 -
The EPR paradox and Bell’s theorem
16:48 -
Quantum entanglement and density matrices
14:15 -
Introduction to Quantum Physics I
13:33 -
The wave function and its physical interpretation
12:45 -
Normalizing the wave function
10:55 -
Expectation values and momentum
15:12 -
The uncertainty principle for wave packets
14:23 -
Stationary states in a potential well
16:58 -
Orthogonality and completeness of stationary states
17:10 -
Wave function for a particle in a box
13:45 -
Energy levels of a particle in a box
12:22 -
The algebraic solution for the harmonic oscillator
19:35 -
Ladder operators for the harmonic oscillator
15:12 -
Ground state wave function for the harmonic oscillator
11:45 -
Excited states of the harmonic oscillator
13:18 -
Scattering from a Delta function potential
16:55 -
Transmission and reflection coefficients
14:27 -
Finite potential well: Bound state conditions
15:35 -
Symmetry and parity in the potential well
12:12 -
Hilbert space and vectors
11:43 -
Operators as matrices
10:58 -
Eigenvalues and eigenvectors of matrices
13:15 -
Expectation values in bra-ket notation
14:37 -
The 3D Schrödinger equation and angular momentum
15:21 -
Radial wave function and spherical harmonics
16:42 -
The hydrogen atom ground state
13:15 -
Energy levels and the Bohr radius
12:10 -
Spin and the Stern-Gerlach experiment
14:27 -
Pauli matrices and spin operators
11:45 -
Addition of spin 1/2 systems
13:18 -
Symmetric and antisymmetric states
16:55 -
Perturbation theory for the helium atom
14:27 -
Exchange interaction and fermions
15:35 -
Variational method for the ground state of helium
12:12 -
WKB approximation for tunneling
11:43 -
Time-dependent perturbations and transitions
10:58 -
Fermi’s golden rule
13:15 -
Scattering cross section and amplitude
14:37 -
Partial waves and phase shifts
15:21 -
Born approximation for the Yukawa potential
16:42 -
Bell’s inequality and quantum mechanics
13:15 -
The measurement problem and decoherence
12:10 -
Conclusion to Quantum Physics I
14:27 -
Hydrogen atom energy levels
10:36 -
Orbital angular momentum and radial equation
10:23 -
Hydrogen atom wavefunctions
12:05 -
Introduction to the hydrogen atom
11:46 -
Radial wavefunctions and their properties
14:35 -
Quantum mechanical states and operators
13:22 -
The Stern-Gerlach experiment and spin
15:41 -
Expectation values and uncertainty
12:50 -
Wave-particle duality and wave packets
11:18 -
Schrödinger equation and its significance
10:21 -
Harmonic oscillator and energy quantization
14:56 -
Angular momentum and the uncertainty principle
10:45 -
More on the hydrogen atom degeneracies and orbits
23:21 -
The simplest quantum system
13:55 -
Hamiltonian and emerging spin angular momentum
15:48
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