Abstract
We show that an operator formed by Schrodinger differential expression with operator coefficient on separable Hilbert space has a pure discrete spectrum. We also discuss the asymptotic behavior of the weighted trace of this operator.
Keywords
TRACE (psycholinguistics)
Operator (biology)
Mathematics
Mathematical analysis
Spectrum (functional analysis)
Differential operator
Hilbert space
Schrödinger's cat
Mathematical physics
Multiplication operator
Separable space
Trace operator
Nuclear operator
Space (punctuation)
Finite-rank operator
Physics
Quantum mechanics
Banach space
Boundary value problem
Chemistry
Subject Areas
Spectral Theory in Mathematical Physics
·Mathematical Physics ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Numerical methods in inverse problems
·Mathematical Physics ·Physical Sciences
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