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(Complete Item Description)
- Abstract:
Input-output and state-space models of linear systems driven by deterministic and random signals; time- and transform-domain representations. Sampling, discrete-time processing of continuous-time signals. State feedback and observers. Probabilistic models; stochastic processes, correlation functions, power spectra, and whitening filters. Detection; matched filters. Least-mean square error estimation; Wiener filtering.
- Subject:
- Science and Technology
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
Time-dependent quantum mechanics and spectroscopy. Topics covered include perturbation theory, two-level systems, light-matter interactions, relaxation in quantum systems, correlation functions and linear response theory, and nonlinear spectroscopy.
- Subject:
- Science and Technology
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
" This course covers topics in time-dependent quantum mechanics, spectroscopy, and relaxation, with an emphasis on descriptions applicable to condensed phase problems and a statistical description of ensembles."
- Subject:
- Science and Technology
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
A two-semester course on statistical mechanics. Basic principles are examined in 8.333: 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. Topics from modern statistical mechanics are explored in 8.334: the hydrodynamic limit and classical field theories. Phase transitions and broken symmetries: universality, correlation functions, and scaling theory. The renormalization approach to collective phenomena. Dynamic critical behavior. Random systems.
- Subject:
- Science and Technology
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
