TL;DR
This paper introduces a simplified mathematical framework for pseudo-bosons, reducing assumptions and exploring physical examples and mathematical properties of biorthogonal sets.
Contribution
It provides an alternative, streamlined definition of pseudo-bosons, enhancing mathematical clarity and broadening potential applications.
Findings
Simplified the mathematical structure of pseudo-bosons.
Discussed physical examples illustrating the framework.
Analyzed properties of biorthogonal sets within the new framework.
Abstract
We propose an alternative definition for pseudo-bosons. This simplifies the mathematical structure, minimizing the required assumptions. Some physical examples are discussed, as well as some mathematical results related to the biorthogonal sets arising out of our framework.
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