IDEAS home Printed from https://ideas.repec.org/a/epw/physic/v4y2022i5id11209.html

Comments on the Aharonov-Bohm Effect

Author

Listed:
  • Kazuyasu Shigemoto

    (Tezukayama University, Japan.)

  • Kunihiko Uehara

    (Tezukayama University, Japan.)

Abstract

In the original setting of the Aharonov-Bohm, the gauge invariant physical longitudinal mode of the vector potential, which is expressed by the gauge invariant physical current, gives the desired contribution to the Aharonov-Bohm effect. While the scalar mode of the vector potential, which changes under the gauge transformation so that it is the unphysical mode, give no contribution to the Aharonov-Bohm effect. Then Aharonov-Bohm effect really occurs by the physical longitudinal mode in the original Aharonov-Bohm’s setting. In the setting of Tonomura et al., where the magnet is shielded with the superconducting material, not only the magnetic field but also the longitudinal mode of the vector potential become massive by the Meissner effect. Then not only the magnetic field but also the physical longitudinal mode does not come out to the region where the electron travels. In such setting, only the scalar mode of the vector potential exists in the region where the electron travels, but there is no contribution to the Aharonov-Bohm effect from that mode.

Suggested Citation

Handle: RePEc:epw:physic:v:4:y:2022:i:5:id:11209
DOI: 10.24018/ejphysics.2022.4.5.209
as

Download full text from publisher

File URL: https://eu-opensci.org/index.php/ejphysics/article/view/11209
File Function: Abstract page
Download Restriction: no
File URL: https://eu-opensci.org/index.php/ejphysics/article/download/11209/2052
File Function: Full text
Download Restriction: no
File URL: https://libkey.io/10.24018/ejphysics.2022.4.5.209?utm_source=ideas
LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
---><---

More about this item

Keywords

;
;
;
;

Statistics

Access and download statistics

Corrections

All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:epw:physic:v:4:y:2022:i:5:id:11209. See general information about how to correct material in RePEc.

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

We have no bibliographic references for this item. You can help adding them by using this form .

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Support Team (email available below). General contact details of provider: https://eu-opensci.org/index.php/ejphysics .

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.