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Electromagnetic coupling of strongly non-local quantum mechanics.

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Title: Electromagnetic coupling of strongly non-local quantum mechanics.
Authors: Modanese, G.1 giovanni.modanese@unibz.it
Source: Physica B. Nov2017, Vol. 524, p81-84. 4p.
Subjects: Electromagnetic coupling, Quantum mechanics, Schrödinger equation, Maxwell equations, Degrees of freedom
Abstract: Although standard quantum mechanics has some non-local features, the probability current of the Schrödinger equation is locally conserved, and this allows minimal electromagnetic coupling. For some important extensions of the Schrödinger equation, however, the probability current is not locally conserved. We show that in these cases the correct electromagnetic coupling requires a relatively simple extension of Maxwell theory which has been known for some time and recently improved by covariant integration of a scalar degree of freedom. We discuss some general properties of the solutions and examine in particular the case of an oscillating dipolar source. Remarkable mathematical and physical differences emerge with respect to Maxwell theory, as a consequence of additional current terms present in the equations for ∇ · E and ∇ × B . Several possible applications are mentioned. [ABSTRACT FROM AUTHOR]
Copyright of Physica B is the property of Elsevier B.V. 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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Header DbId: egs
DbLabel: Engineering Source
An: 125115998
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Although standard quantum mechanics has some non-local features, the probability current of the Schrödinger equation is locally conserved, and this allows minimal electromagnetic coupling. For some important extensions of the Schrödinger equation, however, the probability current is not locally conserved. We show that in these cases the correct electromagnetic coupling requires a relatively simple extension of Maxwell theory which has been known for some time and recently improved by covariant integration of a scalar degree of freedom. We discuss some general properties of the solutions and examine in particular the case of an oscillating dipolar source. Remarkable mathematical and physical differences emerge with respect to Maxwell theory, as a consequence of additional current terms present in the equations for ∇ · E and ∇ × B . Several possible applications are mentioned. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Physica B is the property of Elsevier B.V. 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: 10.1016/j.physb.2017.08.042
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Quantum mechanics
        Type: general
      – SubjectFull: Schrödinger equation
        Type: general
      – SubjectFull: Maxwell equations
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      – SubjectFull: Degrees of freedom
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      – TitleFull: Electromagnetic coupling of strongly non-local quantum mechanics.
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              Text: Nov2017
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