LEADER 03005oam 22004575 450 001 996551144203316 005 20231031193724.0 010 $a3-031-35962-3 024 7 $a10.1007/978-3-031-35962-0 035 $a(MiAaPQ)EBC30751516 035 $a(CKB)28276420400041 035 $a(Au-PeEL)EBL30751516 035 $a(DE-He213)978-3-031-35962-0 035 $a(PPN)27273392X 035 $a(EXLCZ)9928276420400041 100 $a20230921d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSome unusual topics in quantum mechanics /$fPankaj Sharan 205 $a2nd ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (xxii, 314 pages) $cillustrations 225 1 $aLecture Notes in Physics,$x1616-6361 311 0 $a9783031359613 327 $a1st edition: Position operators of non-relativistic quantum mechanics -- A bundle picture of quantum mechanics -- A beam of particles = a plane wave? -- Star-product formulation of quantum mechanics -- Can there be a non-linear quantum mechanics? -- Interaction = exchange of quanta -- Proof of Wigner's theorem. 2nd edition new topics: A very brief history of Matrix mechanics -- Hydrogen atom and O(4) -- Minimum Uncertainty States -- Time Energy Uncertainty Relations? -- Force = curvature in Quantum Mechanics too! -- What is an ?essentially self-adjoint? operator? -- Time re-parametrization in path-integrals -- What are rigged Hilbert spaces? -- Relativistic configuration states, Dirac and Weyl equations. 330 $aThis second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli's proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell's inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student's interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject. 410 0$aLecture Notes in Physics,$x1616-6361 ;$v1020 606 $aQuantum theory 615 0$aQuantum theory. 676 $a530.12 700 $aSharan$b Pankaj$0843856 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996551144203316 996 $aSome Unusual Topics in Quantum Mechanics$91882756 997 $aUNISA