# 4 Classes (48 Units)

**8.05**(12),

**8.333**(12),

**14.01**(12),

**18.901**(12)

# 8.05 Quantum Physics II

Together 8.05 and 8.06 cover 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 wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen.

This class has 8.04 as a prerequisite.

8.05 will not be offered this semester. It will be available in the Fall semester, and will be instructed by W. Detmold.

Lecture occurs 12:30 PM to 2:00 PM on Mondays and Wednesdays in 6-120.

This class counts for a total of 12 credits.

You can find more information at the MIT + 8.05 - Google Search site or on the 8.05 Stellar site.

# 8.333 Statistical Mechanics I

First part of a two-subject sequence on statistical mechanics. Examines the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and mean-field theory.

This class has 8.044, and 8.05 as prerequisites.

8.333 will not be offered this semester. It will be available in the Fall semester, and will be instructed by M. Kardar.

Lecture occurs 2:30 PM to 4:00 PM on Mondays and Wednesdays in 4-163.

This class counts for a total of 12 credits.

You can find more information at the 8.333 Information site.

# 14.01 Principles of Microeconomics

Introduces microeconomic concepts and analysis, supply and demand analysis, theories of the firm and individual behavior, competition and monopoly, and welfare economics. Applications to problems of current economic policy. Taught in two formats - lecture/recitation and recitation only - each with 3 sessions per week. Same content and exams.

This class has no prerequisites.

14.01 will be offered this semester (Spring 2019). It is instructed by J. Gruber and C. Rothschild.

Lecture occurs 1:00 PM to 2:00 PM on Mondays and Wednesdays in 54-100.

This class counts for a total of
12 credits.
This class counts as a **HASS S**.

You can find more information at the MIT + 14.01 - Google Search site or on the 14.01 Stellar site.

# 18.901 Introduction to Topology

Introduces topology, covering topics fundamental to modern analysis and geometry. Topological spaces and continuous functions, connectedness, compactness, separation axioms, covering spaces, and the fundamental group.

This class has 18.100A, 18.100B, 18.100P, and 18.100Q as prerequisites.

18.901 will be offered this semester (Spring 2019). It is instructed by G. Lusztig.

Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-132.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.901 - Google Search site or on the 18.901 Stellar site.