Sign-In
Cart
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics
Hardcover
Series: Progress in Mathematical Physics, Book 69
Medical ReferenceGeneral MathematicsPhysics
ISBN13: 9783319140445
Publisher: Birkhauser
Published: Apr 17 2015
Pages: 598
Weight: 2.31
Height: 1.31 Width: 6.14 Depth: 9.21
Language: English
The 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 parts:
- Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic functions is considered, as well as basic properties of Sobolev spaces.
- Part II: Fundamental facts about Hilbert spaces. The basic theory of linear (bounded and unbounded) operators in Hilbert spaces and special classes of linear operators - compact, Hilbert-Schmidt, trace class, and Schrödinger operators, as needed in quantum physics and quantum information theory - are explored. This section also contains a detailed spectral analysis of all major classes of linear operators, including completeness of generalized eigenfunctions, as well as of (completely) positive mappings, in particular quantum operations.
- Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The authors conclude with a discussion of the Hohenberg-Kohn variational principle.
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.
3 different editions
Also available
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods
Bruening, Erwin
Blanchard, Philippe
Paperback
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods
Blanchard, Philippe
Bruening, Erwin
Hardcover
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics
Brüning, Erwin
Blanchard, Philippe
Paperback
Also from
Blanchard, Philippe
Distributionen Und Hilbertraumoperatoren: Mathematische Methoden Der Physik
Blanchard, Philippe
Brüning, Erwin
Paperback
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics
Brüning, Erwin
Blanchard, Philippe
Paperback
Variational Methods in Mathematical Physics: A Unified Approach
Blanchard, Philippe
Brüning, Erwin
Paperback
Also in
Physics
The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures
Gutfreund, Hanoch
Renn, Jürgen
Hardcover
Physics of the Future: How Science Will Shape Human Destiny and Our Daily Lives by the Year 2100
Kaku, Michio
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Clegg, Brian
Dant, Adam
Hardcover
Feynman's Lost Lecture: The Motion of Planets Around the Sun [With CDROM]
Goodstein, David L.
Paperback
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
Lost in Space: 5,000 Facts for Navigating the Universe
Tyson, Neil Degrasse
Walker, Lindsey Nyx
Hardcover
5 Steps to a 5: AP Physics 1 2027: Practice AP Tests + AP Content Review + Digital Exams
Jacobs, Greg
Paperback
Just Visiting This Planet, Revised and Updated for the Twenty-First Century: Further Scientific Adventures of Merlin from Omniscia
Tyson, Neil Degrasse
Hardcover
What If? 10th Anniversary Edition: Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Astronomy 101, 2nd Edition: From Gravitational Waves and Merging Black Holes to New Exoplanets and Asteroid Samples, Key Theories, Discoveries, and Fa
Petersen, Carolyn Collins
Hardcover
Beyond Darwin: How Epigenetics, Quantum Science, and Cooperation Shape Humanity's Future
Lipton, Bruce H.
Hardcover
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics and Metaphysics
Campbell, Thomas
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Time's Second Arrow: Evolution, Order, and a New Law of Nature
Hazen, Robert M.
Wong, Michael L.
Hardcover
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
A New Science of Heaven: How the New Science of Plasma Physics Is Shedding Light on Spiritual Experience
Temple, Robert
Paperback
Princeton Review AP Physics 1 Premium Prep, 13th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Take Me to Your Leader: Perspectives on Your First Alien Encounter (Large Print Edition)
Tyson, Neil DeGrasse
Hardcover
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Whiteson, Daniel
Warner, Andy
Hardcover
Strange Angel: The Otherworldly Life of Rocket Scientist John Whiteside Parsons
Pendle, George
Paperback
AP Physics 1 Premium, 2027: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Rideout, Kenneth, M. S.
Wolf, Jonathan, M. a. Ed M.
Paperback
American Prometheus (Pulitzer Prize Winner): The Inspiration for the Major Motion Picture Oppenheimer
Bird, Kai
Sherwin, Martin J.
Paperback
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Paperback
Graph Paper Notebook 1/4 inch squares: Graph Paper Composition Book For Children and Women 8 x 10 inch, 122 Pages
Warren, Leann S.
Paperback
Zinn and the Art of Mountain Bike Maintenance, 7th Edition: The World's Best-Selling Guide to Mountain Bike Repair
Zinn, Lennard
Paperback
AP Physics 1 Premium, 2026: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Rideout, Kenneth, M. S.
Wolf, Jonathan, M. a. Ed M.
Paperback
The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism
Capra, Fritjof
Paperback
The Black Book of Manifestation: Hidden Secrets & Forbidden Techniques to Shape Your Reality
Sharma, Sagar
Paperback
Quantum Physics and Higher Consciousness: Unlocking the Mysteries of Reality and Awakening Your Inner Power
Silva, Mari
Hardcover
Why Nobody Understands Quantum Physics: The Story of the Science That Shapes Our World
Broeckaert, Céline
Verstraete, Frank
Hardcover
Ways of Being: Animals, Plants, Machines: The Search for a Planetary Intelligence
Bridle, James
Paperback
Introduction to Live Sound Reinforcement: The Science, the Art, and the Practice
Boyce, Teddy
Paperback
From Shiva to Schrödinger: Unravelling Cosmic Secrets with Trika Shaivism & Quantum Insights
Majumdar, Mrittunjoy Guha
Paperback
Princeton Review AP Physics 1 Premium Prep, 12th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Hardcover
Smithsonian Atlas of Space: A Map to the Universe from the Big Bang to the Future
Launius, Roger D.
Hardcover
Zinn & the Art of Road Bike Maintenance, 6th Edition: The World's Best-Selling Bicycle Repair and Maintenance Guide
Zinn, Lennard
Paperback
Rocket Dreams: Musk, Bezos, and the Inside Story of the New, Trillion-Dollar Space Race
Davenport, Christian
Hardcover
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
Greene, Brian
Paperback
Do Your Ears Pop in Space? and 500 Other Surprising Questions about Space Travel
Mullane, R. Mike
Paperback
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics, and Metaphysics
Campbell, Thomas
Paperback
A Brief Welcome to the Universe: A Pocket-Sized Tour
Gott, J. Richard
Strauss, Michael A.
Tyson, Neil Degrasse
Paperback
Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
Welcome to the Universe: An Astrophysical Tour
Strauss, Michael A.
Gott, J. Richard
Tyson, Neil Degrasse
Hardcover
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Hrabovsky, George
Susskind, Leonard
Paperback
Time Travel in Einstein's Universe: The Physical Possibilities of Travel Through Time
Gott, J. Richard
Paperback
The Autobiography of Nikola Tesla and Other Works (Deluxe Leatherbound Edition)
Tesla, Nikola
Martin, Thomas Commerford
Hardcover
Fundamentals of Astrodynamics: Second Edition
Mueller, Donald D.
White, Jerry E.
Bate, Roger R.
Paperback
Signals from the Subatomic World: How to Build a Proton Precession Magnetometer
Hollos, Richard
Hollos, Stefan
Paperback
Cosmos and Transcendence: Breaking Through the Barrier of Scientistic Belief
Smith, Wolfgang
Paperback
There Are Places in the World Where Rules Are Less Important Than Kindness: And Other Thoughts on Physics, Philosophy and the World
Rovelli, Carlo
Paperback
Let's Review Regents: Physical Science- Physics, Sixth Edition (Barron's NY Regents)
Tarendash, Albert, M. S.
Lazar, Miriam A., M. S.
Paperback
Regents Exams and Answers Physical Science Physics Sixth Edition (Barron's New York Regents)
Lazar, Miriam, M. S. Ed
Paperback
Unseen Universe: Space as You've Never Seen It Before from the James Webb Space Telescope
Harper, Caroline
Hardcover
Alchemy of Nine Dimensions: Activating the Full Spectrum of Consciousness
Clow, Barbara Hand
Paperback
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
Collisions: A Physicist's Journey from Hiroshima to the Death of the Dinosaurs
Nevala-Lee, Alec
Hardcover
AP Physics C Premium, Eighth Edition: 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Pelcovits, Robert A., PH. D.
Farkas, Joshua, M. D.
Paperback
Cosmic Queries: Startalk's Guide to Who We Are, How We Got Here, and Where We're Going
Tyson, Neil DeGrasse
Hardcover
The Sound Atlas: A Guide to Strange Sounds Across Landscapes and Imagination
Vieser, Michaela
Yuen, Isaac
Hardcover
Princeton Review AP Physics C Premium Prep, 19th Edition: 4 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Watkins, Matthew
Betts, Moff
Tweed, Matt
Hardcover
The Universe Story: From the Primordial Flaring Forth to the Ecozoic Era--A Celebration of the Unfol
Swimme, Brian
Paperback
Analytic Idealism in a Nutshell: A Straightforward Summary of the 21st Century's Only Plausible Metaphysics
Kastrup, Bernardo
Paperback
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
Relativity: The Special and the General Theory - 100th Anniversary Edition
Einstein, Albert
Paperback
Sounds Wild and Broken: Sonic Marvels, Evolution's Creativity, and the Crisis of Sensory Extinction
Haskell, David George
Paperback
Too Big for a Single Mind: How the Greatest Generation of Physicists Uncovered the Quantum World
Hürter, Tobias
Paperback