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
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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 -