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<p>We introduce a non-Hermitian operator, and then, we discuss the possibility of finding an Aharonov-Bohm-type effect and persistent currents at zero temperature. This non-Hermitian operator is <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10701_2025_855_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation>-symmetric. Further, we study the Aharonov-Bohm-type effect and persistent currents at zero temperature in this <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10701_2025_855_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation>-symmetric quantum system in a rotating reference frame.</p>

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Aharonov-Bohm Effect for Bound States in a \(\mathcal{P}\mathcal{T}\)-symmetric Hamiltonian in a Rotating Reference Frame

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • K. Bakke

摘要

We introduce a non-Hermitian operator, and then, we discuss the possibility of finding an Aharonov-Bohm-type effect and persistent currents at zero temperature. This non-Hermitian operator is \(\mathcal{P}\mathcal{T}\) P T -symmetric. Further, we study the Aharonov-Bohm-type effect and persistent currents at zero temperature in this \(\mathcal{P}\mathcal{T}\) P T -symmetric quantum system in a rotating reference frame.