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The mathematics students had some background in ad- vanced analysis, while physics students had introductory quantum mechanics. To.
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- Mathematical Concepts of Quantum Mechanics (Universitext)
- Mathematical Foundations of Quantum Mechanics | Free eBooks Download - EBOOKEE!
Oono , Renormalization group theory for global asymptotic analysis, Phys. Oono , Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory, Phys. Kunihiro , Renormalization-group method for reduction of evolution equations: invariant manifolds and envelopes, Ann. Dantzig , Renormalization group approach to Multiscale modelling in materials science, J.
Gustafson and I. Springer-Verlag, Berlin, New York, Temam , Renormalization group method. Applications to Navier-Stokes equation, Discrete Contin. Ziane , Renormalization group method.
Applications to partial differential equations, J. Differential Equations , 13 , Kirkinis , Examples illustrating the use of renormalization techniques on singularly perturbed differential equations, Stud. Kirkinis , A combined renormalization group-multiple scale method for singularly perturbed problems, Stud. Wirosoetisno , Renormalization group method applied to the primitive equations, J. Differential Equations , , Sanders, F.
Verhulst and J.
Banerjee , Center or limit cycle: Renormalization group as a probe, Eur. D , 64 , Ziane , On a certain renormalization group method, J. Moise , Roger Temam.
Renormalization group method: Application to Navier-Stokes equation. Nathan Glatt-Holtz , Mohammed Ziane. Singular perturbation systems with stochastic forcing and the renormalization group method. Renormalization of diophantine skew flows, with applications to the reducibility problem. Masaru Ikehata. On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method. Integrators for highly oscillatory Hamiltonian systems: An homogenization approach.
An exponential integrator for a highly oscillatory vlasov equation. Hermann Brunner. On Volterra integral operators with highly oscillatory kernels. Yahong Peng , Yaguang Wang.
Mathematical Concepts of Quantum Mechanics (Universitext)
Reflection of highly oscillatory waves with continuous oscillatory spectra for semilinear hyperbolic systems. Eberhard , C. A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian.
Omid S. Fard , Javad Soolaki , Delfim F. A necessary condition of Pontryagin type for fuzzy fractional optimal control problems. Patrick Winkert. Multiplicity results for a class of elliptic problems with nonlinear boundary condition. Mahamadi Warma. Parabolic and elliptic problems with general Wentzell boundary condition on Lipschitz domains.
Ana P. Silva , Delfim F. A sufficient optimality condition for delayed state-linear optimal control problems. Marvin S. Approximation of the interface condition for stochastic Stefan-type problems. You already recently rated this item. Your rating has been recorded. Write a review Rate this item: 1 2 3 4 5.
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Preview this item Preview this item. Series: Universitext. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role.
The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation non-relativistic quantum electrodynamics , and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics.
The last four chapters could also serve as an introductory course in quantum field theory. Read more Show all links. Allow this favorite library to be seen by others Keep this favorite library private. Find a copy in the library Finding libraries that hold this item The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.
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Publisher Synopsis From the reviews of the second edition:"This is the second edition of a readable introduction to modern mathematical topics in quantum mechanics intended for students of mathematics or physics. User-contributed reviews Add a review and share your thoughts with other readers. Be the first.
Mathematical Foundations of Quantum Mechanics | Free eBooks Download - EBOOKEE!
Add a review and share your thoughts with other readers. Linked Data More info about Linked Data. Physical background -- 2. Dynamics -- 3. Observables -- 4. Quantization -- 5. Uncertainty principle and stability of atoms and molecules -- 6. Spectrum and dynamics -- 7. Special cases -- 8.
Bound states and variational principle -- 9. Scattering states -- Existence of atoms and molecules -- Perturbation theory: Freshbach-Schur method -- General theory of many-particle systems -- Self-consistent approximations -- The Feynman path integral -- Quasi-classical analysis -- Resonances -- Quantum statistics -- The second quantization -- Quantum electro-magnetic field -- photons -- Standard model of non-relativistic matter and radiation -- Theory of radiation -- Renormalization group -- Mathematical supplement: spectral analysis -- Mathematical supplement: the calculus of variations -- Comments on literature, and further reading.