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This research explores the combinatorial properties associated with pseudofermionic operators and their relation to quantum systems.

April 8, 2026Open Access

Almost Extraspecial Structures and Pseudofermionic Operators

Puntos clave

This research explores the combinatorial properties associated with pseudofermionic operators and their relation to quantum systems.
Survey of recent findings regarding algebras of ladder operators
Formalization of nonselfadjoint Hamiltonians using pseudofermionic operators
Comparison of pseudofermionic operator algebras with central products
Identified significant combinatorial properties in pseudofermionic operators
Established structural analogies with the abstract notion of central products from finite groups

Resumen

We survey some recent combinatorial properties, which have been found in the context of the algebras of ladder operators in quantum mechanics. More specifically, we review dynamical systems which have nonselfadjoint Hamiltonians and are subject to a formalization in terms of pseudofermionic operators. For these systems, we detect structural analogies between algebras of pseudofermionic operators and the abstract notion of central product, which was originally studied for finite groups.

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Cite This Study

Otera et al. (Sun,) studied this question.

synapsesocial.com/papers/69d5efd374eaea4b11a79777 https://doi.org/https://doi.org/10.3390/sym18040615

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