Transcription of Lecture Notes in Quantum Mechanics - BGU
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Lecture Notes in Quantum Mechanics - BGU
Lecture Notes in Quantum MechanicsDoron CohenDepartment of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel(arXiv:quant-ph/0605180)These are the Lecture notesof Quantum Mechanics coursesthat are given by DC at Ben-Gurion University. They cover textbook topics that are listed below, and also additional advancedtopics (marked by *) at the same level of I The classical description of a particle Hilbert space formalism A particle in anNsite system The continuum limit (N= ) Translations and rotationsFundamentals II Quantum states / EPR / Bell The 4 postulates of the theory The evolution operator The rate of change formula Finding the Hamiltonian for a physical system The non-relativistic Hamiltonian The classical equation of motion Symmetries and constants of motionFundamentals III Group theory, Lie algebra Representations of the rotation group Spin 1/2, spin 1 andY`,m Multiplying representations Addition of angular momentum (*) The Galilei group (*) Transformations and invariance (*)
and the notion of quantum state; The 4 postulates of quantum mechanics; Berry phase and adiabatic processes; Linear response theory and the Kubo formula; Wigner-Weyl formalism; Quantum measurements; Quantum computation; The foundations of Statistical mechanics. Note also the following example problems: Analysis of systems with 2
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