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MARC 21

The Schrödinger Equation
Tag	Description
020	$a9789401131544
082	$a515.353
099	$aOnline resource: Springer
100	$aBerezin, F. A.(Feliks Aleksanarovich)
245	$aThe Schrödinger Equation$h[EBook]$cby F. A. Berezin, M. A. Shubin.
260	$aDordrecht$bSpringer Netherlands$c1991.
300	$aXVIII, 555 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aMathematics and Its Applications (Soviet Series),$x0169-6378 ;$v66
505	$a1. General Concepts of Quantum Mechanics -- 1.1. Formulation of Basic Postulates -- 1.2. Some Corollaries of the Basic Postulates -- 1.3. Time Differentiation of Observables -- 1.4. Quantization -- 1.5. The Uncertainty Relations and Simultaneous Measurability of Physical Quantities -- 1.6. The Free Particle in Three-Dimensional Space -- 1.7. Particles with Spin -- 1.8. Harmonic Oscillator -- 1.9. Identical Particles -- 1.10. Second Quantization -- 2. The One-Dimensional Schrödinger Equation -- 2.1. Self-Adjointness -- 2.2. An Estimate of the Growth of Generalized Eigenfunctions -- 2.3. The Schrödinger Operator with Increasing Potential -- 2.4. On the Asymptotic Behaviour of Solutions of Certain Second-Order Differential Equations as x ?? -- 2.5. On Discrete Energy Levels of an Operator with Semi-Bounded Potential -- 2.6. Eigenfunction Expansion for Operators with Decaying Potentials.. -- 2.7. The Inverse Problem of Scattering Theory -- 2.8. Operator with Periodic Potential -- 3. The Multidimensional Schrödinger Equation -- 3.1. Self-Adjointness -- 3.2. An Estimate of the Generalized Eigenfunctions -- 3.3. Discrete Spectrum and Decay of Eigenfunctions -- 3.4. The Schrödinger Operator with Decaying Potential: Essential Spectrum and Eigenvalues -- 3.5. The Schrödinger Operator with Periodic Potential -- 4. Scattering Theory -- 4.1. The Wave Operators and the Scattering Operator -- 4.2. Existence and Completeness of the Wave Operators -- 4.3. The Lippman-Schwinger Equations and the Asymptotics of Eigen-functions -- 5. Symbols of Operators and Feynman Path Integrals -- 5.1. Symbols of Operators and Quantization: qp-and pq-Symbols and Weyl Symbols -- 5.2. Wick and Anti-Wick Symbols. Covariant and Contravariant Symbols -- 5.3. The General Concept of Feynman Path Integral in Phase Space. Symbols of the Evolution Operator -- 5.4. Path Integrals for the Symbol of the Scattering Operator and for the Partition Function -- 5.5. The Connection between Quantum and Classical Mechanics. Semiclassical Asymptotics -- Supplement 1. Spectral Theory of Operators in Hilbert Space -- S1.1. Operators in Hilbert Space. The Spectral Theorem -- S1.2. Generalized Eigenfunctions -- S1.3. Variational Principles and Perturbation Theory for a Discrete Spectrum -- S1.4. Trace Class Operators and the Trace -- S1.5. Tensor Products of Hilbert Spaces -- Supplement 2. Sobolev Spaces and Elliptic Equations -- S2.1. Sobolev Spaces and Embedding Theorems -- S2.2. Regularity of Solutions of Elliptic Equations and a priori Estimates -- S2.3. Singularities of Green’s Functions -- Supplement 3. Quantization and Supermanifolds -- S3.1.Supermanifolds:Recapitulations -- S3.2. Quantization: main procedures -- S3.3. Supersymmetry of the Ordinary Schrödinger Equation and of the Electron in the Non-Homogeneous Magnetic Field -- A Short Guide to the Bibliography.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aShubin, Mikhail Aleksandrovich$d1944-$eauthor.
710	$aSpringerLink (Online service)
830	$aMathematics and Its Applications (Soviet Series),$v66
856	$uhttp://dx.doi.org/10.1007/978-94-011-3154-4