Work

New results for Heisenberg dynamics for nonself-adjoint Hamiltonians

Year: 2026

Type: article

Abstract: In a previous paper, we began our analysis on the role of non-self-adjoint Hamiltonians in connection with the Heisenberg dynamics for quantum systems. Here, motivated by the growing interest on this topic and on some recent results on dynamical systems, we continue this analysis focusing on what we believe is an unexplored (or, at least, not so explored! aspect of Heisenberg dynamics, related to the need for using vectors which are brute-force normalized . Our main interest is on conserved quantities and on conditions which guarantee that some observables of the system, or their mean values, do not evolve in time.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-026-02765-1

Author: F. Bagarello

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Catania, University of Palermo

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Palermo