03138nam a22005535i 4500 978-3-031-66878-4 DE-He213 20251030113258.0 cr nn 008mamaa 241105s2024 sz | s |||| 0|eng d 9783031668784 978-3-031-66878-4 10.1007/978-3-031-66878-4 doi QA329-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Lewin, Mathieu. author. aut http://id.loc.gov/vocabulary/relators/aut 87014 Spectral Theory and Quantum Mechanics [electronic resource] / by Mathieu Lewin. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 340 p. 32 illus., 30 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Universitext, 2191-6675 1 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. This 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. Operator theory. Mathematical physics. Differential equations. Quantum physics. 66608 Operator Theory. Mathematical Physics. Differential Equations. Quantum Physics. 66608 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031668777 Printed edition: 9783031668791 Universitext, 2191-6675 73095 https://doi.org/10.1007/978-3-031-66878-4 ZDB-2-SMA ZDB-2-SXMS 64712 64712