Formulas of Szegő type for the periodic Schrödinger operator

DOI10.1007/s00220-018-3106-zzbMath1468.34122arXiv1612.01747OpenAlexW2737653989MaRDI QIDQ2413442

Bernhard Pfirsch, Alexander V. Sobolev

Publication date: 10 April 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01747

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of partial differential operators (47F05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

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Stability of a Szegő-type asymptotics ⋮ Full Szegő-type trace asymptotics for ergodic operators on large boxes ⋮ How much delocalisation is needed for an enhanced area law of the entanglement entropy? ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ Entanglement entropy bounds in the higher spin XXZ chain

Cites Work

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• Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom's conjecture
• Large block properties of the entanglement entropy of free disordered fermions
• Asymptotic expansions for pseudodifferential operators on bounded domains
• Eigenvalue distribution of time and frequency limiting
• Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols
• On the Schatten-von Neumann properties of some pseudo-differential operators
• A Special Case of a Conjecture by Widom with Implications to Fermionic Entanglement Entropy
• Entanglement in many-body systems
• Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature
• Lower entropy bounds and particle number fluctuations in a Fermi sea
• A short review on entanglement in quantum spin systems
• THE DIRECT AND INVERSE SCATTERING PROBLEMS FOR THE ONE-DIMENSIONAL PERTURBED HILL OPERATOR
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
• Aspects of Toeplitz Determinants
• On the analogues of Szegő's theorem for ergodic operators
• Functions of self-adjoint operators in ideals of compact operators
• Where are the black-hole entropy degrees of freedom?
• Entanglement entropy in extended quantum systems

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