Order,Disorder and Chaos in Quantum Systems: Proceedings of a conference held at Dubna, USSR on October 17–21 1989

Front Matter....Pages I-XIV
Front Matter....Pages 1-1
Negative Discrete Spectrum of the Schroedinger Operator with Large Coupling Constant: A Qualitative Discussion....Pages 3-16
Discrete Spectrum in the Gaps of the Continuous one in the Large-Coupling-Constant Limit....Pages 17-25
On the Asymptoptics of Discrete Spectrum for the Schroedinger Operator in Electric and Homogeneous Magnetic Fields....Pages 27-31
Asymptotics of the Discrete Spectrum of Hamiltonians of Quantum Systems with a Homogeneous Magnetic Field....Pages 33-53
Asymptotics of Eigenvalues for Many-Particle Hamiltonians at Symmetry Subspaces....Pages 55-59
Spectral Asymptotics with Highly Accurate Remainder Estimates....Pages 61-63
Bound States and Resonances in Quantum Wires....Pages 65-84
Spectral Properties of the Operators H ψ = − ψ xx + p(x) ψ + v(εx) ψ , p is Periodic....Pages 85-107
Discrete Spectrum for a Periodic Schroedinger Operator Perturbed by a Decreasing Potential....Pages 109-114
On a Complete Description of the Principal Discrete Series of Spectral Invariants of the Hill Operator....Pages 115-117
WKB-Approximations from the Perturbation Theory Viewpoint....Pages 119-123
Moving Potentials and the Completeness of Wave Operators. Part II: Propagating Observables on Scattering States....Pages 125-147
Representation of the Three-Body S-Matrix in Terms of Effective Amplitudes....Pages 149-153
A Three-Body One-Dimensional System with Increasing Interactions: Wave Function Asymptotics....Pages 155-158
Surprises of Quantum Tunneling (Something about the Velocity of the Sub-Barrier Motion)....Pages 159-168
Front Matter....Pages 169-169
Lifshitz-Tails and Non-Lifshitz-Tails for One-Dimensional Random Point Interactions....Pages 171-178
Point Interactions with an Internal Structure as Limits of Nonlocal Separable Potentials....Pages 179-182
Green’s Function for the Aharonov-Bohm Effect with a Non-Abelian Gauge Group....Pages 183-193
A Model of Zero-Width Slits and the Real Diffraction Problem....Pages 195-196
Construction of an Inelastic Scatterer in Nanoelectronics by the Extension-Theory Methods....Pages 197-198
Front Matter....Pages 169-169
On Boundary Theory for Schrödinger Operators and Stochastic Processes....Pages 199-208
Dirac Hamiltonian with Coulomb Potential and Contact Interaction on a Sphere....Pages 209-219
Self-Adjoint Extensions of Schroedinger Operators with Singular Potentials....Pages 221-227
Currents and the Extensions Theory....Pages 229-233
Front Matter....Pages 235-235
Chaotic Quantum Billiards....Pages 237-258
Relevance of the Localization to Quasienergy Statistics in Quantum Chaotic Systems....Pages 259-277
Singular Continuous Quasi-Energy Spectrum in the Kicked Rotator with Separable Perturbation: Onset of Quantum Chaos?....Pages 279-299
Relation between Correlation Functions and Spectrum Statistics in the Region of Quantum Chaos....Pages 301-304
Front Matter....Pages 305-305
Localization Effects in Non-Homogeneous Dielectrics....Pages 307-313
A Self-Adjoint Dilation of the Linear Boltzmann Operator....Pages 315-318
Kato Problem for Functional-Differential Equations and Difference Schrödinger Operators....Pages 319-321
An Existence Theorem for Some Nonlinear Nonlocal Schroedinger Operators and the Soliton-Like Solutions for the Corresponding Dynamic Systems....Pages 323-326
The Sturm-Liouville Problem with a Potential Linear in Spectral Parameter....Pages 327-329
Stochastic Model of Tree Growth....Pages 331-334
Critical Phenomenon in the Stationary Model of Random Growth....Pages 335-338
On a Quantum-Classical Connection, Hidden Symmetries, and a Model of Josephson Junction....Pages 339-342
Open Multiquantum Systems. Method of a Generating Functional....Pages 343-345
Generalized Functions and Their Applications....Pages 347-354
Back Matter....Pages 355-360