Some Unusual Topics in Quantum Mechanics

This 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 integr...

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שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Sharan, Pankaj (Author)
מחבר תאגידי: SpringerLink (Online service)
פורמט: אלקטרוני ספר אלקטרוני
שפה:אנגלית
יצא לאור: Cham : Springer International Publishing : Imprint: Springer, 2023.
מהדורה:2nd ed. 2023.
סדרה:Lecture Notes in Physics, 1020
נושאים:
גישה מקוונת:https://doi.org/10.1007/978-3-031-35962-0
תגים: הוספת תג
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505 0 |a 1st 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. 
520 |a This 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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