Skip to main content
SpringerLink
Log in

Smoothness of density of states for random decaying interaction

  • Published:
Proceedings of the Indian Academy of Sciences - Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper we consider one dimensional random Jacobi operators with decaying independent randomness and show that under some condition on the decay vis-a-vis the distribution of randomness, that the distribution function of the average spectral measures of the associated operators are smooth.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Carmona R and Lacroix J, Spectral theory of random Schrödinger operators (Boston: Birkhauser) (1990)

    MATH  Google Scholar 

  2. Companino M and Klein A, A supersymmetric transfer matrix and differentiability of density of states in the one-dimensional Anderson model,Commun. Math. Phys. 104 (1986) 227–241

    Article  Google Scholar 

  3. Figotin A and Pastur L A, Spectral properties of disordered systems in the one body approximation (New York: Springer Verlag) (1990)

    Google Scholar 

  4. Gordon V A, Jaksic V, Molchanov S and Simon B, Spectral properties of random Schrödinger operators with unbounded potentials,Commun. Math. Phys. 157 (1993) 23–50

    Article  MATH  MathSciNet  Google Scholar 

  5. Kirsch W, Krishna M and Obermeit J, Anderson model with decaying randomness-mobility edge,Math. Z. 235(3) (2000) 421–433

    Article  MATH  MathSciNet  Google Scholar 

  6. Kiselev A, Last Y and Simon B, Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators,Commun. Math. Phys. 194 (1998) 1–45

    Article  MATH  MathSciNet  Google Scholar 

  7. Reed M and Simon B, Methods of moedern mathematical physics II: Fourier analysis, self-adjointness (New York: Academic Press) (1975)

    Google Scholar 

  8. Simon B and Taylor M, Harmonic analysis on SL(2, ℝ) and smoothness of the density of states in the one dimensional Anderson model,Commun. Math. Phys. 101 (1985) 1–19

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematical Sciences, Taramani, 600 113, Chennai, India

    M. Krishna

Authors
  1. M. Krishna
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Krishna.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krishna, M. Smoothness of density of states for random decaying interaction. Proc. Indian Acad. Sci. (Math. Sci.) 112, 163–181 (2002). https://doi.org/10.1007/BF02829648

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02829648

Keywords

Search

Navigation