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New results for Heisenberg dynamics for nonself-adjoint Hamiltonians.

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Title: New results for Heisenberg dynamics for nonself-adjoint Hamiltonians.
Authors: Bagarello, F.1,2 (AUTHOR) fabio.bagarello@unipa.it
Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Apr2026, Vol. 77 Issue 4, p1-13. 13p.
Subjects: Conserved quantity, Dynamical systems, Quantum theory, Quantum states, Hermitian operators, Quantum operators
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. [ABSTRACT FROM AUTHOR]
Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193283408
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: New results for Heisenberg dynamics for nonself-adjoint Hamiltonians.
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00033-026-02765-1
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      – Code: eng
        Text: English
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        PageCount: 13
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      – SubjectFull: Conserved quantity
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
      – SubjectFull: Quantum theory
        Type: general
      – SubjectFull: Quantum states
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      – SubjectFull: Hermitian operators
        Type: general
      – SubjectFull: Quantum operators
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      – TitleFull: New results for Heisenberg dynamics for nonself-adjoint Hamiltonians.
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              Text: Apr2026
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              Y: 2026
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