Quantum Mechanics in Mathematics, Chemistry, and Physics

Table of Contents

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   Book Overview
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   Chapter 1 Total Cross Sections in Non-Relativistic Scattering Theory
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   Chapter 2 Classical-Quantum Correspondence in Non-Linear Systems
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   Chapter 3 Real Axis Asymptotics and Estimates of Hamiltonian Resolvent Kernels
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   Chapter 4 Statistical Inference in Quantum Mechanics
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   Chapter 5 Schrödinger Operators with Oscillating Potentials
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   Chapter 6 Time Delay and Resonance in Simple Scattering
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   Chapter 7 A Study of the Helmholtz Operator
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   Chapter 8 Invariant Manifolds and Bifurcations in the Taylor Problem
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    Chapter 9 On the Dimension of a Finite Difference Approximation to Divergence-Free Vectors
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    Chapter 10 Intramolecular Dynamics in the Quasiperiodic and Stochastic Regimes
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    Chapter 11 Problems in the Semiclassical Quantization of Integrable and Nonintegrable Classical Dynamical Systems
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    Chapter 12 Nonselfadjoint Operators in Diffraction and Scattering
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    Chapter 13 One-Dimensional Crystals in an External Field
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    Chapter 14 Dynamics of Forced Coupled Oscillators: Classical Phenomenology of Infrared Multiphoton Absorption
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    Chapter 15 Irreversibility and Stochasticity of Chemical Processes
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    Chapter 16 On the Representations of the Local Current Algebra and the Group of Diffeomorphisms (I)
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    Chapter 17 Regular and Chaotic Regimes in Quantum Mechanics
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    Chapter 18 Barrier Penetration and Exponential Decay in the Stark Effect
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    Chapter 19 A Nonlinear Schrödinger Equation Yielding the “Shape of Molecules” by Spontaneous Symmetry Breaking
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    Chapter 20 Classical Limit of the Number of Quantum States
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    Chapter 21 Formal Integrals for a Nonintegrable Dynamical System: Preliminary Report
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    Chapter 22 On a Generalized Weyl-Von Neumann Converse Theorem
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    Chapter 23 Scattering Theory in Many-Body Quantum Systems. Analyticity of the Scattered Matrix
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    Chapter 24 Existence, Uniqueness, Stability and Calculation of the Stationary Regimes in Some Nonlinear Systems
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    Chapter 25 Weighted Trigonometric Approximations in L 2 ( R n )
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    Chapter 26 The Phenomenon of Magnetic Pairing and Exactly Soluble Models of Magnetic Resonances
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    Chapter 27 Dyons Solutions to Yang-Mills Equations
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    Chapter 28 Asymptotic Resonance Properties of the Finite-Dimensional Friedrichs Model
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    Chapter 29 Self-Consistent Field Methods for Metastable Electronic States: A Promising Extension of the Complex Coordinate Technique
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    Chapter 30 Timestep Control for the Numerical Solutions of Initial-Boundary-Value Problems
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    Chapter 31 Quantum Mechanical Angular Distributions and Group Representations on Banach Spaces
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    Chapter 32 Tensor Product Decomposition of Holomorphically Induced Representations and Clebsch-Gordan Coefficients
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    Chapter 33 Orthogonal Laurent Polynomials and Gaussian Quadrature
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    Chapter 34 Measurement Theory with Instruments Treated Partially Quantum Mechanically
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    Chapter 35 Transition Maps and Locality
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    Chapter 36 The Feynman-Kac Formula for Boson Wiener Processes
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    Chapter 37 On Nonunitary Equivalence Between Unitary Group of Dynamics and Contraction Semigroups of Markov Processes