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006			m |o d |
007			cr |||||||||||
008			180417s2018 gw |||| o |||| 0|eng
010			_a 2019751828
020			_a9783030085667 (Pbk)
024	7		_a10.1007/978-3-319-77893-8 _2doi
035			_a(DE-He213)978-3-319-77893-8
040			_aDLC _beng _epn _erda _cIISERB
072		7	_aPHQ _2bicssc
072		7	_aPHQ _2thema
072		7	_aSCI057000 _2bisacsh
082	0	4	_a530.12 T29M _223
100	1		_aTeta, Alessandro. _929095
245	1	2	_aMathematical Primer on Quantum Mechanics _cby Alessandro Teta.
250			_a1st ed. 2018.
260			_aSwitzerland: _bSpringer-Nature, _c2018.
300			_aXI, 259 pages 7 illustrations
490	1		_aUNITEXT for Physics, _x2198-7882
505	0		_aPreface -- 1. Brief Review of Hamiltonian Mechanics and Electromagnetism -- 2. From Planck's Hypothesis to Bohr's Atom -- 3. Schrodinger Equation -- 4. Linear Operators in Hilbert Spaces -- 5. Rules of Quantum Mechanics -- 6. Free Particle -- 7. Harmonic Oscillator -- 8. Point Interaction -- 9. Hydrogen Atom -- 10. The Cloud Chamber Problem -- References -- Index.
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		0	_aMathematical physics. _929096
650		0	_aPhysics. _929097
650		0	_aQuantum physics. _929098
650	1	4	_aQuantum Physics. _929099
650	2	4	_aMathematical Applications in the Physical Sciences. _929100
650	2	4	_aMathematical Methods in Physics. _929101
650	2	4	_aMathematical Physics. _929102
776	0	8	_iPrint version: _tA mathematical primer on quantum mechanics. _z9783319778921 _w(DLC) 2018934931
776	0	8	_iPrinted edition: _z9783030085667
776	0	8	_iPrinted edition: _z9783319778921
776	0	8	_iPrinted edition: _z9783319778945
830		0	_aUNITEXT for Physics, _929103
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c9988 _d9988