Bounded States of One Dimensional Schrodinger Systems
Li Ma
TL;DR
This paper investigates the existence of bound states in one-dimensional Schrödinger systems using the blow-up method, providing new insights into the mathematical properties of such quantum systems.
Contribution
It introduces a novel application of the blow-up method to analyze bound states in one-dimensional Schrödinger systems, advancing theoretical understanding.
Findings
Established conditions for the existence of bound states
Developed a new analytical approach using blow-up techniques
Enhanced mathematical framework for Schrödinger systems
Abstract
In this paper, we study the existence problem of bound states of one dimensional Schrodinger system via the blow-up method.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering