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020 _a9783031668784
_9978-3-031-66878-4
024 7 _a10.1007/978-3-031-66878-4
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
100 1 _aLewin, Mathieu.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987014
245 1 0 _aSpectral Theory and Quantum Mechanics
_h[electronic resource] /
_cby Mathieu Lewin.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXII, 340 p. 32 illus., 30 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x2191-6675
505 0 _a1 Introduction to quantum mechanics: the hydrogen atom -- 2 Self-adjointness -- 3 Self-adjointness criteria: Rellich, Kato & Friedrichs -- 4 Spectral theorem and functional calculus -- 5 Spectrum of self-adjoint operators -- 6 N-particle systems, atoms, molecules -- 7 Periodic Schrödinger operators, electronic properties of materials -- Appendix A: Sobolev spaces -- Appendix B: Problems.
520 _aThis textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation incorporates numerous physical examples to illustrate the abstract theory. The final two chapters present recent findings on Schrödinger’s equation for systems of particles. While primarily designed for graduate courses, the book can also serve as a valuable introduction to the subject for more advanced readers. It requires no prior knowledge of physics, assuming only a graduate-level understanding of mathematical analysis from the reader.
650 0 _aOperator theory.
650 0 _aMathematical physics.
650 0 _aDifferential equations.
650 0 _aQuantum physics.
_966608
650 1 4 _aOperator Theory.
650 2 4 _aMathematical Physics.
650 2 4 _aDifferential Equations.
650 2 4 _aQuantum Physics.
_966608
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031668777
776 0 8 _iPrinted edition:
_z9783031668791
830 0 _aUniversitext,
_x2191-6675
_973095
856 4 0 _uhttps://doi.org/10.1007/978-3-031-66878-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64712
_d64712