000			01798 a2200229 4500
005			20190527145355.0
008			190521b xxu||||| |||| 00| 0 eng d
020			_a9783319778921
040			_cIIT Kanpur
041			_aeng
082			_a530.12 _bT29m
100			_aTeta, Alessandro
245			_aA mathematical primer on quantum mechanics _cAlessandro Teta
260			_bSpringer _c2018 _aSwitzerland
300			_axi, 259p
440			_aUnitext for physics
490			_a/ edited by Paolo Biscari
520			_aThis book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
650			_aMathematical physics
650			_aPhysics
942			_cBK
999			_c560247 _d560247