Home
 Subject Search
 Help
 Symbols Help
 PreReg Help
 Final Exam Schedule
 My Selections

Searched for: 7 subjects found.
6.6400 Applied Quantum and Statistical Physics
()
Prereq: 18.06
Units: 408
Lecture: WF1112.30 (4153) Recitation: M11 (4159) +final
Elementary quantum mechanics and statistical physics. Introduces applied quantum physics. Emphasizes experimental basis for quantum mechanics. Applies Schrodinger's equation to the free particle, tunneling, the harmonic oscillator, and hydrogen atom. Variational methods. Elementary statistical physics; FermiDirac, BoseEinstein, and Boltzmann distribution functions. Simple models for metals, semiconductors, and devices such as electron microscopes, scanning tunneling microscope, thermonic emitters, atomic force microscope, and more. Some familiarity with continuous time Fourier transforms recommended.
P. Hagelstein
Textbooks (Fall 2024)8.04 Quantum Physics I
()
Prereq: 8.03 and (18.03 or 18.032)
Units: 507
Credit cannot also be received for 8.041
Experimental basis of quantum physics: photoelectric effect, Compton scattering, photons, FranckHertz experiment, the Bohr atom, electron diffraction, deBroglie waves, and waveparticle duality of matter and light. Introduction to wave mechanics: Schroedinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zeropoint energies. Solutions to Schroedinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic oscillator. Schroedinger's equation in three dimensions: central potentials and introduction to hydrogenic systems.
Staff
8.041 Quantum Physics I
()
Prereq: 8.03 and (18.03 or 18.032)
Units: 2010
Credit cannot also be received for 8.04
Recitation: TR11 (4231) +final
Blended version of 8.04 using a combination of online and inperson instruction. Covers the experimental basis of quantum physics: MachZender interferometers, the photoelectric effect, Compton scattering, and de Broglie waves. Heisenberg uncertainty principle and momentum space. Introduction to wave mechanics: Schroedinger's equation, probability amplitudes, and wave packets. Stationary states and the spectrum of onedimensional potentials, including the variational principle, the HellmannFeynman lemma, the virial theorem, and the harmonic oscillator. Basics of angular momentum, central potentials, and the hydrogen atom. Introduction to the SternGerlach experiment, spin onehalf, spin operators, and spin states.
B. Zwiebach
Textbooks (Fall 2024)8.05 Quantum Physics II
()
Prereq: 8.04 or 8.041
Units: 507
Credit cannot also be received for 8.051
Lecture: MW12.302 (6120) Recitation: TR10 (26142) or TR11 (26142) or TR1 (26314) or TR2 (26314) +final
Vector spaces, linear operators, and matrix representations. Inner products and adjoint operators. Commutator identities. Dirac's Brakets. Uncertainty principle and energytime version. Spectral theorem and complete set of commuting observables. Schrodinger and Heisenberg pictures. Axioms of quantum mechanics. Coherent states and nuclear magnetic resonance. Multiparticle states and tensor products. Quantum teleportation, EPR and Bell inequalities. Angular momentum and central potentials. Addition of angular momentum. Density matrices, pure and mixed states, decoherence.
S. Choi
Textbooks (Fall 2024)8.051 Quantum Physics II
()
Prereq: 8.04 and permission of instructor
Units: 2010
Credit cannot also be received for 8.05
Blended version of 8.05 using a combination of online and inperson instruction. Together with 8.06 covers quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wave functions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: SternGerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: ClebschGordan series and coefficients, spin systems, and allotropic forms of hydrogen. Limited to 20.
Staff
8.06 Quantum Physics III
()
Prereq: 8.05
Units: 507
Continuation of 8.05. Units: natural units, scales of microscopic phenomena, applications. Timeindependent approximation methods: degenerate and nondegenerate perturbation theory, variational method, BornOppenheimer approximation, applications to atomic and molecular systems. The structure of one and twoelectron atoms: overview, spinorbit and relativistic corrections, fine structure, variational approximation, screening, Zeeman and Stark effects. Charged particles in a magnetic field: Landau levels and integer quantum hall effect. Scattering: general principles, partial waves, review of onedimension, lowenergy approximations, resonance, Born approximation. Timedependent perturbation theory. Students research and write a paper on a topic related to the content of 8.05 and 8.06.
Staff
8.276 Nuclear and Particle Physics
()
Not offered regularly; consult department
Prereq: 8.033 and 8.04
Units: 408
Presents a modern view of the fundamental structure of matter. Starting from the Standard Model, which views leptons and quarks as basic building blocks of matter, establishes the properties and interactions of these particles. Explores applications of this phenomenology to both particle and nuclear physics. Emphasizes current topics in nuclear and particle physics research at MIT. Intended for students with a basic knowledge of relativity and quantum physics concepts.
Staff