Quantum mechanics: An intermediate level course
by Richard Fitzpatrick
Publisher: Lulu.com 2008
Number of pages: 267
A complete set of lecture notes for an upper-division quantum mechanics course. Topics covered include fundamental concepts, one-dimensional potentials, central potentials, angular momentum, the hydrogen atom, time-independent perturbation theory, time-dependent perturbation theory, variational methods, and scattering theory.
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by Curt A. Moyer - arXiv
The failure of conventional quantum theory to recognize time as an observable and to admit time operators is addressed. We emphasize the role of the Hamiltonian as the generator of translations in time to construct time states.
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).
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Shortcuts to adiabaticity are fast routes to the final results of slow adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different systems and conditions.
by M. De Sanctis - arXiv
By using the general concepts of special relativity and the requirements of quantum mechanics, Dirac equation is derived and studied. Only elementary knowledge of spin and rotations in quantum mechanics and standard linear algebra are required.