Spectral Analysis of Quantum Hamiltonians

1. Front Matter

   Pages i-vii

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2. Remarks on Sojourn Time Estimates for Periodic Time-dependent Quantum Systems

   • J. Asch, O. Bourget, V. H. Cortés, C. Fernández

   Pages 1-10

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3. Continuity of Spectra in Rieffel’s Pseudodifferential Calculus

   • F. Belmonte, M. Măntoiu

   Pages 11-24

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4. Stability of Matter

   • Rafael D. Benguria

   Pages 25-54

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5. On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

   • Horia D. Cornean, Radu Purice

   Pages 55-66

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6. The Topological Bloch-Floquet Transform and Some Applications

   • G. De Nittis, G. Panati

   Pages 67-105

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7. Discrete Schrödinger Operators with Random Alloy-type Potential

   • Alexander Elgart, Helge Krüger, Martin Tautenhahn, Ivan Veselić

   Pages 107-131

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8. Operator Domains and SUSY Breaking in a Model of SUSYQM with a Singular Potential

   • H. Falomir, P. A. G. Pisani

   Pages 133-145

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9. Generalized Euclidean Bosonic String Equations

   • P. Górka, H. Prado, E. G. Reyes

   Pages 147-169

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10. Resonances for “Large” Ergodic Systems in One Dimension: A Review

    • Frédéric Klopp

    Pages 171-182

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11. Understanding the Random Displacement Model: From Ground State Properties to Localization

    • Frédéric Klopp, Michael Loss, Shu Nakamura, Günter Stolz

    Pages 183-219

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12. On Limiting Eigenvalue Distribution Theorems in Semiclassical Analysis

    • Daisy Ojeda-Valencia, Carlos Villegas-Blas

    Pages 221-252

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13. On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides

    • César R. de Oliveira, Alessandra A. Verri

    Pages 253-276

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14. Equilibrium Analysis of a Dissipative Fermion System

    • Rolando Rebolledo

    Pages 277-299

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15. A New Formula Relating Localisation Operators to Time Operators

    • S. Richard, R. Tiedra de Aldecoa

    Pages 301-338

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This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first  of a series of volumes reporting every two years on recent progress in spectral theory.​

• operator theory
• quantum Hamiltonians
• spectral theory
• partial differential equations

• , Departamento de Física, P. Universidad Católica de Chile, Santiago, Chile

  Rafael Benguria

• , Departamento de Matemáticas, Universidad de Chile, Santiago, Chile

  Eduardo Friedman

• , Departamento de Matemática, Universidad de Chile, Santiago, Chile

  Marius Mantoiu

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