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Quantum Mechanics in Mathematics, Chemistry, and Physics [1981]

1
Total Cross Sections in Non-Relativistic Scattering Theory
27
Classical-Quantum Correspondence in Non-Linear Systems
43
Real Axis Asymptotics and Estimates of Hamiltonian Resolvent Kernels
73
Statistical Inference in Quantum Mechanics
83
Schrödinger Operators with Oscillating Potentials
99
Time Delay and Resonance in Simple Scattering
107
A Study of the Helmholtz Operator
121
Invariant Manifolds and Bifurcations in the Taylor Problem
125
On the Dimension of a Finite Difference Approximation to Divergence-Free Vectors
133
Intramolecular Dynamics in the Quasiperiodic and Stochastic Regimes
167
Problems in the Semiclassical Quantization of Integrable and Nonintegrable Classical Dynamical Systems
179
Nonselfadjoint Operators in Diffraction and Scattering
183
One-Dimensional Crystals in an External Field
193
Dynamics of Forced Coupled Oscillators: Classical Phenomenology of Infrared Multiphoton Absorption
203
Irreversibility and Stochasticity of Chemical Processes
211
On the Representations of the Local Current Algebra and the Group of Diffeomorphisms (I)
223
Regular and Chaotic Regimes in Quantum Mechanics
243
Barrier Penetration and Exponential Decay in the Stark Effect
255
A Nonlinear Schrödinger Equation Yielding the “Shape of Molecules” by Spontaneous Symmetry Breaking
267
Classical Limit of the Number of Quantum States
277
Formal Integrals for a Nonintegrable Dynamical System: Preliminary Report
289
On a Generalized Weyl-Von Neumann Converse Theorem
307
Scattering Theory in Many-Body Quantum Systems. Analyticity of the Scattered Matrix
337
Existence, Uniqueness, Stability and Calculation of the Stationary Regimes in Some Nonlinear Systems
343
Weighted Trigonometric Approximations in <Emphasis FontCategory="NonProportional">L</Emphasis>2 (<Emphasis FontCategory="NonProportional">R</Emphasis> <Superscript>n</Superscript>)
351
The Phenomenon of Magnetic Pairing and Exactly Soluble Models of Magnetic Resonances
359
Dyons Solutions to Yang-Mills Equations
371
Asymptotic Resonance Properties of the Finite-Dimensional Friedrichs Model
383
Self-Consistent Field Methods for Metastable Electronic States: A Promising Extension of the Complex Coordinate Technique
407
Timestep Control for the Numerical Solutions of Initial-Boundary-Value Problems
415
Quantum Mechanical Angular Distributions and Group Representations on Banach Spaces
435
Tensor Product Decomposition of Holomorphically Induced Representations and Clebsch-Gordan Coefficients
449
Orthogonal Laurent Polynomials and Gaussian Quadrature
457
Measurement Theory with Instruments Treated Partially Quantum Mechanically
467
Transition Maps and Locality
479
The Feynman-Kac Formula for Boson Wiener Processes
495
On Nonunitary Equivalence Between Unitary Group of Dynamics and Contraction Semigroups of Markov Processes
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