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Electric-type Stern-Gerlach effect |
| Jiang-Lin Zhou(周蒋麟)1, Zou-Chen Fu(傅邹晨)1, Choo Hiap Oh(胡祖协)2,, and Jing-Ling Chen(陈景灵)3,† |
1 School of Physics, Nankai University, Tianjin 300071, China;
2 Centre for Quantum Technologies and Department of Physics, National University of Singapore 117543, Singapore;
3 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China |
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Abstract The Stern-Gerlach (SG) experiment is a fundamental experiment for revealing the existence of “spin”. In this experiment, beams of silver atoms are sent through inhomogeneous magnetic fields to observe their deflection. Thus, the conventional SG experiment can be viewed as a magnetic-type spin effect. In this work, we successfully generalize the SG effect from magnetic-type to electric-type by solving Dirac’s equation with a potential barrier, revealing an extraordinary spin effect. Beams of Dirac particles can be regarded as matter waves. Based on Dirac’s equation, we obtain the explicit forms of the incident, reflected, and transmitted waves. The electric-type SG effect shows that the reflected and transmitted waves can exhibit notable spatial shifts, which depend on the spin direction and the incident angle of the wave. The electric-type SG effect has potential applications for separating Dirac particles with different spin directions and for estimating the spin direction of Dirac particles. Some discussions related to the interaction between spin and the electric field are also presented.
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Received: 02 September 2025
Revised: 29 September 2025
Accepted manuscript online: 09 October 2025
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PACS:
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03.65.Pm
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(Relativistic wave equations)
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03.75.-b
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03.65.Nk
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(Scattering theory)
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| Fund: This project is supported by the Quantum Science and Technology-National Science and Technology Major Project of China (Grant No. 2024ZD0301000) and the National Natural Science Foundation of China (Grant No. 12275136). |
Corresponding Authors:
Jing-Ling Chen
E-mail: chenjl@nankai.edu.cn
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Cite this article:
Jiang-Lin Zhou(周蒋麟), Zou-Chen Fu(傅邹晨), Choo Hiap Oh(胡祖协), and Jing-Ling Chen(陈景灵) Electric-type Stern-Gerlach effect 2026 Chin. Phys. B 35 010302
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[1] Greiner W 2001 Quantum Mechanics: An Introduction (Berlin: Springer) pp. 329–353
[2] Uhlenbeck G E and Goudsmit S 1925 Nat. Wiss. 13 953 (in German)
[3] Uhlenbeck G E and Goudsmit S 1926 Nature 117 264
[4] Dirac P A M 1928 Proc. R. Soc. Lond. A 117 610
[5] Greiner W 2000 Relativistic Quantum Mechanics. Wave Equations (Berlin: Springer) p. 99
[6] Pauli Jr W 1927 Z. Phys. 43 601 (in German)
[7] Flugge S 1999 Practical Quantum Mechanics (Berlin: Springer) p. 337
[8] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge: Cambridge University Press) pp. 171–247
[9] Artmann K 1948 Ann. Phys. 437 87 (in German)
[10] Goos F and Hanchen H 1947 Ann. Phys. 436 333 (in German)
[11] Maaza M and Pardo B 1997 Opt. Commun. 142 84
[12] Ignatovich V K 2004 Phys. Lett. A 322 36
[13] Beenakker C W J, Sepkhanov R A, Akhmerov A R and Tworzydlo J 2009 Phys. Rev. Lett. 102 146804
[14] de Haan V O, Plomp J, Rekveldt T M, Kraan W H, van Well A A, Dalgliesh R M and Langridge S 2010 Phys. Rev. Lett. 104 010401
[15] Cheng M 2012 Eur. Phys. J. B 85 89
[16] Zhou L, Qin J L, Lan Z, Dong G and Zhang W 2015 Phys. Rev. A 91 031603(R)
[17] Huaman A and Usaj G 2019 Phys. Rev. A 100 033409
[18] Ban Y and Chen X 2023 Phys. Rev. A 108 042218
[19] Zhou J L, Zhang Z X, Fan X Y and Chen J L 2024 Phys. Rev. A 110 042202
[20] Xiang H and Zhai F 2024 Phys. Rev. B 109 035432
[21] Krekora P, Su Q and Grobe R 2004 Phys. Rev. Lett. 92 040406
[22] Hu M J, Miao H X and Zhang Y S 2024 Chin. Phys. B 33 020303
[23] Fedorov F I 2013 J. Opt. 15 014002
[24] Imbert C 1972 Phys. Rev. D 5 787
[25] Li C F 2007 Phys. Rev. A 76 013811
[26] Manchon A, Koo H C, Nitta J, Frolov S M and Duine R A 2015 Nature Mater. 14 871
[27] Hirsch J E 1999 Phys. Rev. Lett. 83 1834
[28] Sinova J, Culcer D, Niu Q, Sinitsyn N A, Jungwirth T and MacDonald A H 2004 Phys. Rev. Lett. 92 126603
[29] Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010 Rev. Mod. Phys. 82 1539 |
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