000726571 000__ 05129cam\a2200469Ii\4500
000726571 001__ 726571
000726571 005__ 20230306140828.0
000726571 006__ m\\\\\o\\d\\\\\\\\
000726571 007__ cr\cn\nnnunnun
000726571 008__ 150416s2015\\\\sz\a\\\\o\\\\\000\0\eng\d
000726571 020__ $$a9783319140452$$qelectronic book
000726571 020__ $$a3319140450$$qelectronic book
000726571 020__ $$z9783319140445
000726571 0247_ $$a10.1007/978-3-319-14045-2$$2doi
000726571 035__ $$aSP(OCoLC)ocn907471196
000726571 035__ $$aSP(OCoLC)907471196
000726571 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dCOO
000726571 049__ $$aISEA
000726571 050_4 $$aQC20
000726571 08204 $$a530.15$$223
000726571 1001_ $$aBlanchard, Philippe,$$eauthor.
000726571 24510 $$aMathematical methods in physics$$h[electronic resource] :$$bdistributions, Hilbert space operators, variational methods, and applications in quantum physics /$$cPhilippe Blanchard, Erwin Brüning.
000726571 250__ $$aSecond edition.
000726571 264_1 $$aCham :$$bBirkhäuser,$$c2015.
000726571 300__ $$a1 online resource (xxvii, 598 pages) :$$billustrations.
000726571 336__ $$atext$$btxt$$2rdacontent
000726571 337__ $$acomputer$$bc$$2rdamedia
000726571 338__ $$aonline resource$$bcr$$2rdacarrier
000726571 4901_ $$aProgress in mathematical physics,$$x1544-9998 ;$$vvolume 69
000726571 504__ $$aIncludes bibliographical references and index.
000726571 5050_ $$aIntroduction -- 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.
000726571 506__ $$aAccess limited to authorized users.
000726571 520__ $$aThe second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods. The text is divided into three main parts. Part I is a brief introduction to distribution theory, in which elements from the theories of ultradistributions and hyperfunctions are considered in addition to some deeper results for Schwartz distributions, thus providing a comprehensive introduction to the theory of generalized functions. Part II contains fundamental facts about Hilbert spaces and their geometry. The theory of linear operators, both bounded and unbounded, is developed, focusing on results needed for the theory of Schrödinger operators. Part III treats the direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire's fundamental results and their main consequences, and bilinear functionals. Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines.
000726571 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 16, 2015).
000726571 650_0 $$aMathematical physics.
000726571 7001_ $$aBrüning, Erwin,$$eauthor.
000726571 77608 $$iPrint version:$$z9783319140445
000726571 830_0 $$aProgress in mathematics (Boston. Mass.) ;$$vvolume 69.
000726571 852__ $$bebk
000726571 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-14045-2$$zOnline Access$$91397441.1
000726571 909CO $$ooai:library.usi.edu:726571$$pGLOBAL_SET
000726571 980__ $$aEBOOK
000726571 980__ $$aBIB
000726571 982__ $$aEbook
000726571 983__ $$aOnline
000726571 994__ $$a92$$bISE