An Exact Renormalization Formula for the Maryland Model

Alexander Fedotov; Fedor Sandomirskiy

doi:10.1007/s00220-014-2126-6

An Exact Renormalization Formula for the Maryland Model

Alexander Fedotov, Fedor Sandomirskiy

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

20 Scopus citations

Abstract

We discuss the difference Schrödinger equation (Formula presented.), (Formula presented.), where (Formula presented.), (Formula presented.) and E are parameters. We obtain explicit renormalization formulas relating its solutions for large (Formula presented.) to solutions of the equation with new parameters (Formula presented.), (Formula presented.) and E for bounded (Formula presented.). These formulas are similar to the renormalization formulas from the theory of Gaussian exponential sums.

Original language	English (US)
Pages (from-to)	1083-1099
Number of pages	17
Journal	Communications In Mathematical Physics
Volume	334
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-2126-6
State	Published - Mar 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-014-2126-6

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title = "An Exact Renormalization Formula for the Maryland Model",

abstract = "We discuss the difference Schr{\"o}dinger equation (Formula presented.), (Formula presented.), where (Formula presented.), (Formula presented.) and E are parameters. We obtain explicit renormalization formulas relating its solutions for large (Formula presented.) to solutions of the equation with new parameters (Formula presented.), (Formula presented.) and E for bounded (Formula presented.). These formulas are similar to the renormalization formulas from the theory of Gaussian exponential sums.",

author = "Alexander Fedotov and Fedor Sandomirskiy",

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year = "2015",

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AB - We discuss the difference Schrödinger equation (Formula presented.), (Formula presented.), where (Formula presented.), (Formula presented.) and E are parameters. We obtain explicit renormalization formulas relating its solutions for large (Formula presented.) to solutions of the equation with new parameters (Formula presented.), (Formula presented.) and E for bounded (Formula presented.). These formulas are similar to the renormalization formulas from the theory of Gaussian exponential sums.

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An Exact Renormalization Formula for the Maryland Model

Abstract

All Science Journal Classification (ASJC) codes

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