Haslinger Friedrich
Institut für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria.
J Math Anal Appl. 2013 Jun 15;402(2):739-744. doi: 10.1016/j.jmaa.2013.01.071.
The spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space [Formula: see text] is explicitly computed. It turns out that it consists of positive integer eigenvalues, each of which is of infinite multiplicity. Spectral analysis of the [Formula: see text]-Neumann Laplacian on the Fock space is closely related to Schrödinger operators with magnetic fields and to the complex Witten Laplacian.
在福克空间[公式:见正文]上的[公式:见正文]-诺伊曼拉普拉斯算子的谱被明确计算出来。结果表明它由正整数特征值组成,每个特征值都具有无限重数。福克空间上[公式:见正文]-诺伊曼拉普拉斯算子的谱分析与带磁场的薛定谔算子以及复维滕拉普拉斯算子密切相关。