Ebook: Quantum Mechanics in Mathematics, Chemistry, and Physics

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Content:
Front Matter....Pages i-ix
Total Cross Sections in Non-Relativistic Scattering Theory....Pages 1-26
Classical-Quantum Correspondence in Non-Linear Systems....Pages 27-42
Real Axis Asymptotics and Estimates of Hamiltonian Resolvent Kernels....Pages 43-71
Statistical Inference in Quantum Mechanics....Pages 73-81
Schr?dinger Operators with Oscillating Potentials....Pages 83-98
Time Delay and Resonance in Simple Scattering....Pages 99-106
A Study of the Helmholtz Operator....Pages 107-120
Invariant Manifolds and Bifurcations in the Taylor Problem....Pages 121-124
On the Dimension of a Finite Difference Approximation to Divergence-Free Vectors....Pages 125-131
Intramolecular Dynamics in the Quasiperiodic and Stochastic Regimes....Pages 133-166
Problems in the Semiclassical Quantization of Integrable and Nonintegrable Classical Dynamical Systems....Pages 167-177
Nonselfadjoint Operators in Diffraction and Scattering....Pages 179-182
One-Dimensional Crystals in an External Field....Pages 183-191
Dynamics of Forced Coupled Oscillators: Classical Phenomenology of Infrared Multiphoton Absorption....Pages 193-201
Irreversibility and Stochasticity of Chemical Processes....Pages 203-210
On the Representations of the Local Current Algebra and the Group of Diffeomorphisms (I)....Pages 211-222
Regular and Chaotic Regimes in Quantum Mechanics....Pages 223-241
Barrier Penetration and Exponential Decay in the Stark Effect....Pages 243-253
A Nonlinear Schr?dinger Equation Yielding the “Shape of Molecules” by Spontaneous Symmetry Breaking....Pages 255-266
Classical Limit of the Number of Quantum States....Pages 267-276
Formal Integrals for a Nonintegrable Dynamical System: Preliminary Report....Pages 277-287
On a Generalized Weyl-Von Neumann Converse Theorem....Pages 289-305
Scattering Theory in Many-Body Quantum Systems. Analyticity of the Scattered Matrix....Pages 307-336
Existence, Uniqueness, Stability and Calculation of the Stationary Regimes in Some Nonlinear Systems....Pages 337-341
The Phenomenon of Magnetic Pairing and Exactly Soluble Models of Magnetic Resonances....Pages 343-350
Dyons Solutions to Yang-Mills Equations....Pages 351-357
Asymptotic Resonance Properties of the Finite-Dimensional Friedrichs Model....Pages 359-369
Self-Consistent Field Methods for Metastable Electronic States: A Promising Extension of the Complex Coordinate Technique....Pages 371-381
Timestep Control for the Numerical Solutions of Initial-Boundary-Value Problems....Pages 383-406
Quantum Mechanical Angular Distributions and Group Representations on Banach Spaces....Pages 407-413
Tensor Product Decomposition of Holomorphically Induced Representations and Clebsch-Gordan Coefficients....Pages 415-434
Orthogonal Laurent Polynomials and Gaussian Quadrature....Pages 435-447
Measurement Theory with Instruments Treated Partially Quantum Mechanically....Pages 449-455
Transition Maps and Locality....Pages 457-465
The Feynman-Kac Formula for Boson Wiener Processes....Pages 467-478
On Nonunitary Equivalence Between Unitary Group of Dynamics and Contraction Semigroups of Markov Processes....Pages 479-493
Back Matter....Pages 495-502
....Pages 503-506