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Mathematical Physics of Quantum Mechanics

Overview of attention for book
Cover of 'Mathematical Physics of Quantum Mechanics'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 The Ten Martini Problem
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    Chapter 3 Swimming Lessons for Microbots
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    Chapter 4 Landau-Zener Formulae from Adiabatic Transition Histories
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    Chapter 5 Scattering Theory of Dynamic Electrical Transport
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    Chapter 6 The Landauer-Büttiker Formula and Resonant Quantum Transport
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    Chapter 7 Point Interaction Polygons: An Isoperimetric Problem
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    Chapter 8 Limit Cycles in Quantum Mechanics
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    Chapter 9 Cantor Spectrum for Quasi-Periodic Schrödinger Operators
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    Chapter 10 Adiabatic Theorems and Reversible Isothermal Processes
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    Chapter 11 Quantum Massless Field in 1+1 Dimensions
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    Chapter 12 Stability of Multi-Phase Equilibria
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    Chapter 13 Ordering of Energy Levels in Heisenberg Models and Applications
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    Chapter 14 Interacting Fermions in 2 Dimensions
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    Chapter 15 On the Essential Spectrum of the Translation Invariant Nelson Model
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    Chapter 16 Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
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    Chapter 17 Long Time Behaviour to the Schrödinger–Poisson–Xα Systems
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    Chapter 18 Towards the Quantum Brownian Motion
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    Chapter 19 Bose-Einstein Condensation and Superradiance
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    Chapter 20 Derivation of the Gross-Pitaevskii Hierarchy
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    Chapter 21 Towards a Microscopic Derivation of the Phonon Boltzmann Equation
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    Chapter 22 On the Quantization of Hall Currents in Presence of Disorder
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    Chapter 23 Equality of the Bulk and Edge Hall Conductances in 2D
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    Chapter 24 Generic Subsets in Spaces of Measures and Singular Continuous Spectrum
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    Chapter 25 Low Density Expansion for Lyapunov Exponents
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    Chapter 26 Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensembles
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    Chapter 27 Recent Results on Quantum Map Eigenstates
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    Chapter 28 Level Repulsion and Spectral Type for One-Dimensional Adiabatic Quasi-Periodic Schrödinger Operators
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    Chapter 29 Low Lying Eigenvalues of Witten Laplacians and Metastability (After Hel.er-Klein-Nier and Helffer-Nier)
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    Chapter 30 The Mathematical Formalism of a Particle in a Magnetic Field
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    Chapter 31 Fractal Weyl Law for Open Chaotic Maps
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    Chapter 32 Spectral Shift Function for Magnetic Schrödinger Operators
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    Chapter 33 Counting String/M Vacua
Attention for Chapter 2: The Ten Martini Problem
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (96th percentile)
  • High Attention Score compared to outputs of the same age and source (94th percentile)

Mentioned by

blogs
1 blog
twitter
15 X users
wikipedia
6 Wikipedia pages

Citations

dimensions_citation
3 Dimensions

Readers on

mendeley
13 Mendeley
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Chapter title
The Ten Martini Problem
Chapter number 2
Book title
Mathematical Physics of Quantum Mechanics
Published in
arXiv, March 2005
DOI 10.1007/3-540-34273-7_2
Book ISBNs
978-3-54-031026-6, 978-3-54-034273-1
Authors

Artur Avila, Svetlana Jitomirskaya, Avila, Artur, Jitomirskaya, Svetlana

Editors

Joachim Asch, Alain Joye

X Demographics

X Demographics

The data shown below were collected from the profiles of 15 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 13 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 13 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 3 23%
Professor 2 15%
Student > Ph. D. Student 2 15%
Other 1 8%
Student > Doctoral Student 1 8%
Other 2 15%
Unknown 2 15%
Readers by discipline Count As %
Physics and Astronomy 4 31%
Mathematics 3 23%
Arts and Humanities 2 15%
Materials Science 2 15%
Unknown 2 15%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 20. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 30 June 2023.
All research outputs
#1,898,350
of 25,562,515 outputs
Outputs from arXiv
#29,410
of 928,674 outputs
Outputs of similar age
#3,291
of 86,172 outputs
Outputs of similar age from arXiv
#15
of 247 outputs
Altmetric has tracked 25,562,515 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 92nd percentile: it's in the top 10% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 928,674 research outputs from this source. They receive a mean Attention Score of 4.3. This one has done particularly well, scoring higher than 96% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 86,172 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 96% of its contemporaries.
We're also able to compare this research output to 247 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 94% of its contemporaries.