Differential Equations of Quantum Mechanics
Israel Michael Sigal
TL;DR
This paper reviews key mathematical structures and results in quantum mechanics related to partial differential equations, highlighting open problems and recent developments in the field.
Contribution
It provides a concise overview of PDE-based quantum mechanics and formulates open research problems for future exploration.
Findings
Summary of main mathematical structures in quantum PDEs
Identification of open problems in quantum PDEs
Highlights of recent advances in quantum mechanics mathematics
Abstract
We review very briefly the main mathematical structures and results in some important areas of Quantum Mechanics involving PDEs and formulate open problems.
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