Spectral Theory and Quantum Mechanics : Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation /: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation. (2018)

• Record Type: Book
• Further Information: Note: Valter Moretti.
• Authors: Moretti, Valter
• Contents: 1 Introduction and Mathematical Backgrounds.- 2 Normed and Banach Spaces, Examples and Applications.- 3 Hilbert Spaces and Bounded Operators.- 4 Families of Compact Operators on Hilbert Spaces and Fundamental Properties.- 5 Densely-Defined Unbounded Operators on Hilbert Spaces.- 6 Phenomenology of Quantum Systems and Wave Mechanics: an Overview.- 7 The First 4 Axioms of QM: Propositions, Quantum States and Observables.- 8 Spectral Theory I: Generalities, Abstract C -algebras and Operators in B(H).- 9 Spectral theory II: Unbounded Operators on Hilbert Spaces.- 10 Spectral Theory III: Applications.- 11 Mathematical Formulation of Non-Relativistic Quantum Mechanics.- 12 Introduction to Quantum Symmetries.- 13 Selected Advanced Topics in Quantum Mechanics.- 14 Introduction to the Algebraic Formulation of Quantum Theories.- 15 Appendix A: Order Relations and Groups.- 16 Appendix B: Elements of Differential Geometry.
• Edition: Second edition
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Copyright Date: 2017
• Extent: 1 online resource (950 pages)
• Subjects: Mathematics; Science -- Mathematical Physics; Mathematics -- Mathematical Analysis; Mathematical physics; Calculus & mathematical analysis; Mathematical physics; Global analysis (Mathematics); Mathematics -- Applied; Applied mathematics
• Languages: English
• ISBNs: 9783319707068
• Related ISBNs: 9783319707051
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.