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Mathematical Results in Quantum Mechanics [1994]

3
Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations
9
The discrete spectrum in a gap of the continuous one for compact supported perturbations
13
Schrödinger Operators with Strong Local Magnetic Perturbations: Existence of Eigenvalues in Gaps of the Essential Spectrum
19
Regularity of the nodal sets of solutions to Schrödinger equations
27
Results in the spectral theory of Schrödinger operators with wide potential barriers
33
Stark ladders and perturbation theory
37
Singular potentials: Algebraization
45
Asymptotic Behavior of the Resolvent of the Dirac Operator
55
Discrete spectrum of the perturbed Dirac operator
63
The Spectrum of Schrödinger Operators in <Emphasis Type="Italic">L</Emphasis> <Subscript> <Emphasis Type="Italic">p</Emphasis> </Subscript>(<Emphasis Type="Bold">R</Emphasis> <Superscript> <Emphasis Type="Italic">d</Emphasis> </Superscript>) and in <Emphasis Type="Italic">C</Emphasis> <Subscript>0</Subscript>(<Emphasis Type="Bold">R</Emphasis> <Superscript> <Emphasis Type="Italic">d</Emphasis> </Superscript>)
73
On the spectral properties of generalized Schrödinger operators
79
A Fermi-type rule for contact embedded-eigenvalue perturbations
89
A Simple Model for Predissociation
107
Scattering on Several Solenoids
113
Hall conductance of Riemann surfaces
123
Framework and Results of Stochastic Spectral Analysis
133
Occupation time asymptotics with an application to the decay of eigenfunctions
137
Holomorphic semigroups and Schrödinger equations
143
Some Problems on Submarkovian Semigroups
149
Smoothness Estimates and Uniqueness for the Dirichlet Operator
153
Trace Ideal Properties of Perturbed Dirichlet Semigroups
161
Quantum Dynamical Semigroups
171
Limits of Infinite Order, Dimensionality or Number of Components for Random Finite-Difference Operators
191
Atoms at Finite Density and Temperature and the Spectra of Reduced Density Matrices
207
Quantum Fluctuations in the Many-Body Problem
213
General Hamiltonians and Model Hamiltonians of the Theory of Superconductivity and Superfluidity in the Hilbert Space of Translation-Invariant Functions
219
Poisson Field Representations in the Statistical Mechanics of Continuous Systems
227
Exact ground states for quantum spin chains
233
The spectrum of the spin-boson model
239
A Survey oh Wigner-Poisson Problems
259
Classical d’Alembert field in an one-dimensional pulsating region
263
Irregular scattering in one-dimensional periodically driven systems
277
Relatively Random Unitary Operators
283
A Trace Formula for Obstacles Problems and Applications
293
Propagation in Irregular Optic Fibres
299
Singular perturbations, regularization and extension theory
307
Adiabatic Reduction Theory. Semiclassical S-matrix for N-state one-dimensional systems
321
The functional structure of the monodromy matrix for Harper’s equation
343
Eigenfunction expansion of right definite multiparameter problems
347
Singularly Perturbed Operators
353
Some Mathematical Problems of <Emphasis Type="Italic">p</Emphasis>-adic Quantum Theory
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