A limit law for the ground state of Hill's equation

H. P. McKean

doi:10.1007/BF02188225

A limit law for the ground state of Hill's equation

H. P. McKean

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that the ground state Λ(L) of (-1)x the Schrödinger operator with white noise potential, on an interval of length L, subject to Neumann, periodic, or Dirichlet conditions, satisfies the law {Mathematical expression}

Original language	English (US)
Pages (from-to)	1227-1232
Number of pages	6
Journal	Journal of Statistical Physics
Volume	74
Issue number	5-6
DOIs	https://doi.org/10.1007/BF02188225
State	Published - Mar 1994

Keywords

Schrödinger's operator
diffusion
spectrum

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02188225

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title = "A limit law for the ground state of Hill's equation",

abstract = "It is proved that the ground state Λ(L) of (-1)x the Schr{\"o}dinger operator with white noise potential, on an interval of length L, subject to Neumann, periodic, or Dirichlet conditions, satisfies the law {Mathematical expression}",

keywords = "Schr{\"o}dinger's operator, diffusion, spectrum",

author = "McKean, {H. P.}",

year = "1994",

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doi = "10.1007/BF02188225",

language = "English (US)",

volume = "74",

pages = "1227--1232",

journal = "Journal of Statistical Physics",

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AU - McKean, H. P.

PY - 1994/3

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N2 - It is proved that the ground state Λ(L) of (-1)x the Schrödinger operator with white noise potential, on an interval of length L, subject to Neumann, periodic, or Dirichlet conditions, satisfies the law {Mathematical expression}

AB - It is proved that the ground state Λ(L) of (-1)x the Schrödinger operator with white noise potential, on an interval of length L, subject to Neumann, periodic, or Dirichlet conditions, satisfies the law {Mathematical expression}

KW - Schrödinger's operator

KW - diffusion

KW - spectrum

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

A limit law for the ground state of Hill's equation

Abstract

Keywords

ASJC Scopus subject areas

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