2015/10/30 by Bruce K. Driver, Driver, Bruce K., Pun Wai Tong +1
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1511.04008
openalex publication_date 2015/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let L be a linear symmetric differential operators on L2( ℝ) whose domain is the Schwartz test function space, S. For the majority of this paper, it is assumed that the coefficient of L are polynomial functions on ℝ. We will give criteria on the polynomial coefficients of L which guarantees that L is essentially self-adjoint, L≥-CI for some C0, in the coefficients is used to provide a large class of operators satisfying the hypotheses in our another paper "On the classical limit of quantum mechanics" (will be submitted very soon) where a strong form of the classical limit of quantum mechanics is shown to hold.