A quantum mechanical model of "dark matter"
V.V. Belokurov, E.T. Shavgulidze
TL;DR
This paper explores quantum mechanical models to understand the properties of singular solutions and how they influence the state space of a two-dimensional quantum harmonic oscillator.
Contribution
It introduces a quantum mechanical framework analyzing singular solutions and their impact on the state space structure of the oscillator.
Findings
States are separated into distinct sets with different properties.
Singular solutions play a significant role in the quantum model.
The structure of the state space is influenced by these solutions.
Abstract
The role of singular solutions in some simple quantum mechanical models is studied. The space of the states of two-dimensional quantum harmonic oscillator is shown to be separated into sets of states with different properties.
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics · advanced mathematical theories