Mathematical methods in physics : distributions, Hilbert space operators, variational methods, and applications in quantum physics /: distributions, Hilbert space operators, variational methods, and applications in quantum physics. (2015)

• Record Type: Book
• Further Information: Note: Philippe Blanchard, Erwin Brüning.
• Authors: Blanchard, Philippe; Brüning, Erwin
• Contents: Introduction -- Spaces of Test Functions -- Schwartz Distributions -- Calculus for Distributions -- Distributions as Derivatives of Functions -- Tensor Products -- Convolution Products -- Applications of Convolution -- Holomorphic Functions -- Fourier Transformations -- Distributions as Boundary Values of Analytic Functions -- Other Spaces of Generalized Functions -- Sobolev Spaces -- Hilbert Spaces: A Brief Historical Introduction -- Inner Product Spaces and Hilbert Spaces -- Geometry of Hilbert Spaces -- Separable Hilbert Spaces -- Direct Sums and Tensor Products -- Topological Aspects -- Linear Operators -- Quadratic Forms -- Bounded Linear Operators -- Special Classes of Linear Operators -- Elements of Spectral Theory -- Compact Operators -- Hilbert-Schmidt and Trace Class Operators -- The Spectral Theorem -- Some Applications of the Spectral Representation -- Spectral Analysis in Rigged Hilbert Spaces -- Operator Algebras and Positive Mappings -- Positive Mappings in Quantum Physics -- Introduction -- Direct Methods in the Calculus of Variations -- Differential Calculus on Banach Spaces and Extrema of Functions -- Constrained Minimization Problems (Method of Lagrange Multipliers) -- Boundary and Eigenvalue Problems -- Density Functional Theory of Atoms and Molecules -- Appendices -- Index.
• Edition: Second edition
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2015
• Extent: 1 online resource (xxvii, 598 pages), illustrations
• Subjects: 530.15; Mathematics; Mathematical physics; Mathematical physics; Science -- Mathematical Physics; Mathematics -- Functional Analysis; Mathematics -- Applied; Mathematical physics; Functional analysis & transforms; Optimization; Functional analysis; Operator theory; Mathematical optimization; Electronic books
• Languages: English
• ISBNs: 9783319140452; 3319140450; 3319140442; 9783319140445
• Related ISBNs: 9783319140445
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 16, 2015).
• 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.