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 (*)

The major attempt in this set of lectures was to give a self contained presentation of quantum mechanics, which is not based on the historical "quantization" approach. The main inspiration comes from Ref.[3] and Ref.[1]. The challenge was to nd a compromise between the over-heuristic approach of Ref.[3] and the too formal approach of Ref.[1].

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