Lecture Notes in Quantum Mechanics
by Doron Cohen
Publisher: arXiv 2013
Number of pages: 285
These lecture notes cover undergraduate textbook topics and also additional advanced topics at the same level of presentation. In particular: EPR and Bell; Basic postulates; The probability matrix; Measurement theory; Entanglement; Quantum computation; Wigner-Weyl formalism; The adiabatic picture; Berry phase; Linear response theory; Kubo formula; Modern approach to scattering theory with mesoscopic orientation; Theory of the resolvent and the Green function; Gauge and Galilei Symmetries; Motion in magnetic field; Quantum Hall effect; Quantization of the electromagnetic field; Fock space formalism.
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by Ivan Todorov - arXiv
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics).
by Edward Nelson - Princeton University Press
This book deals with the kinematics of diffusion processes. The dynamical equations are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms.
by Petr Hajicek - arXiv
The book gives a consequent and mathematical formulation to the interpretation of quantum mechanics that is often met among practical physicists. The book ought to be accessible to students that finished the standard course of quantum mechanics.
by J D Cresser - Macquarie University
With the development of the quantum information interpretation of quantum mechanics, the tendency is to move away from wave mechanics to the more abstract linear algebra version. It is this view of quantum mechanics that is presented in these notes.