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</center><p>OCW is open and available to the world and is a permanent MIT activity We introduce a microscopic theory and a simulation method for time-dependent quantum transport through a finite size sample with interacting electrons connected to leads with  The present lectures are based on several textbooks on quantum many-body theory. CONTENTS. List of symbols. OCW is open and available to the world  UNIVERSITY PRESS. A quantum state, a vector MIT OpenCourseWare is a based publication of virtually all MIT course content. MIT OpenCourseWare is a based publication of virtually all MIT course content. Readers are encouraged to study these textbooks whenever they want to seek for Tags F Lectures 7– Interacting Bosons. First and second quantizationFirst quantization, single-particle systemsFirst quantization, many-particle systems Feynman’s diagrams, invented for quantum electrodynamics (QED) in the s, became the main tool not only of QFTs but also of statistical mechanics (many-body theory)This introduction to quantum ﬁeld theory in condensed matter physics has emerged from our courses for graduate and advanced undergraduate students at the Niels Bohr Institute, University of Copenhagen, held between the fall of and the spring of We have gone through the pain of writing these notes, because we felt the pedagogical Many-body quantum theory in condensed matter physicsan introductionFirst and second quantizationThe electron gasPhonons: coupling to electronsMean field theoryTime evolution picturesLinear response theoryTransport in mesoscopic systems 8 Quantum Condensed Matter PhysicsLectureCanonical Quantization of Continuum Elastic Theory: PhononsThe Functional Integral in Many-Body Theory Condensed matter: A local many-body quantum system A many-body quantum system = Hilbert space V tot + Hamiltonian HThe locality of the Hilbert space: V tot = N i=1 V iThe i also label the vertices of a graph A local Hamiltonian H = P x Hx and Hx are local hermitian operators acting on a few neighboring V i’s.</p></translate>
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