Eigenvalue asymptotics and exponential decay of eigenfunctions for schrödinger operators with magnetic fields

Zhongwei Shen

doi:10.1090/s0002-9947-96-01709-6

Eigenvalue asymptotics and exponential decay of eigenfunctions for schrödinger operators with magnetic fields

Zhongwei Shen

Producción científica: Article › revisión exhaustiva

32 Citas (Scopus)

Resumen

We consider the Schrödinger operator with magnetic field, H = (1/i▽ - a⇀(x))² + V(x) in ⁿ. Assuming that V ≥ 0 and |curl a⇀ | + V + 1 is locally in certain reverse Holder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions.

Idioma original	English
Páginas (desde-hasta)	4465-4488
Número de páginas	24
Publicación	Transactions of the American Mathematical Society
Volumen	348
N.º	11
DOI	https://doi.org/10.1090/s0002-9947-96-01709-6
Estado	Published - 1996

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9947-96-01709-6

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title = "Eigenvalue asymptotics and exponential decay of eigenfunctions for schr{\"o}dinger operators with magnetic fields",

abstract = "We consider the Schr{\"o}dinger operator with magnetic field, H = (1/i▽ - a⇀(x))2 + V(x) in n. Assuming that V ≥ 0 and |curl a⇀ | + V + 1 is locally in certain reverse Holder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions.",

keywords = "Eigenvalue asymptotics, Reverse h{\"o}lder class, Schr{\"o}dinger operator",

author = "Zhongwei Shen",

year = "1996",

doi = "10.1090/s0002-9947-96-01709-6",

language = "English",

volume = "348",

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TY - JOUR

T1 - Eigenvalue asymptotics and exponential decay of eigenfunctions for schrödinger operators with magnetic fields

AU - Shen, Zhongwei

PY - 1996

Y1 - 1996

N2 - We consider the Schrödinger operator with magnetic field, H = (1/i▽ - a⇀(x))2 + V(x) in n. Assuming that V ≥ 0 and |curl a⇀ | + V + 1 is locally in certain reverse Holder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions.

AB - We consider the Schrödinger operator with magnetic field, H = (1/i▽ - a⇀(x))2 + V(x) in n. Assuming that V ≥ 0 and |curl a⇀ | + V + 1 is locally in certain reverse Holder class, we study the eigenvalue asymptotics and exponential decay of eigenfunctions.

KW - Eigenvalue asymptotics

KW - Reverse hölder class

KW - Schrödinger operator

UR - https://www.scopus.com/pages/publications/21444460044

UR - https://www.scopus.com/pages/publications/21444460044#tab=citedBy

U2 - 10.1090/s0002-9947-96-01709-6

DO - 10.1090/s0002-9947-96-01709-6

M3 - Article

AN - SCOPUS:21444460044

SN - 0002-9947

VL - 348

SP - 4465

EP - 4488

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -

Eigenvalue asymptotics and exponential decay of eigenfunctions for schrödinger operators with magnetic fields

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ASJC Scopus subject areas

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