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Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field |
Azmat Iqbal1, Kiran Humayun1, Sana Maqsood1, Saba Jawaid1, Afaq Ahmad2, Amin Ur Rahman1,3, Bakht Amin Bacha4 |
1 Department of Physics, The University of Lahore, Raiwind Road Campus, Lahore, Pakistan;
2 Center of Excellence in Solid State Physics, University of the Punjab, Lahore, Pakistan;
3 Department of Physics, RIPHAH International University Islamabad, Pakistan;
4 Department of Physics, University of Malakand Chakdara Dir(L), Pakistan |
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Abstract Photodetachment of negative ions has attracted immense interest owing to its fundamental nature and practical implications with regard to technology. In this study, we explore the quantum dynamics of the photodetachment cross section of negative ion of hydrogen H- in the perturbed one dimensional linear harmonic potential via static electric field. To this end, the quantum formula for total photodetachment cross section of the H- ion is derived by calculating the dipole matrix element in spherical coordinates. In order to obtain the detached electron wave function, we have solved the time-independent Schrödinger wave equation for the perturbed Hamiltonian of the harmonic oscillator in momentum representation. To acquire the corresponding normalized final state detached electron wave function in momentum space, we have employed an approach analogous to the WKB (Wenzel-Kramers-Brillouin) approximation. The resulting analytical formula of total photodetachment cross section depicts interesting oscillator structure that varies considerably with incident-photon energy, oscillator potential frequency, and electric field strength as elucidated by the numerical results. The current problem having close analogy with the Stark effect in charged harmonic oscillator may have potential implications in atomic and molecular physics and quantum optics.
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Received: 30 September 2019
Revised: 29 October 2018
Accepted manuscript online:
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PACS:
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32.80.Gc
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(Photodetachment of atomic negative ions)
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32.60.+i
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(Zeeman and Stark effects)
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Corresponding Authors:
Azmat Iqbal
E-mail: azmatiqbal786@gmail.com
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Cite this article:
Azmat Iqbal, Kiran Humayun, Sana Maqsood, Saba Jawaid, Afaq Ahmad, Amin Ur Rahman, Bakht Amin Bacha Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field 2019 Chin. Phys. B 28 023201
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[1] |
Matin L F, Bouzari H H and Ahmadi F J 2014 Theor. Appl. Phys. 8 140
|
[2] |
Blom A 2004 arXiv: physics/0406141[physics.atom-ph]
|
[3] |
Bryant H C, Mohagheghi A, Stewart J E, Donahue J B, Quick C R, Reeder R A, Yuan V V, Hummer C R, Smith W W, Cohen S, Reinhardt W P and Overman L 1987 Phys. Rev. Lett. 58 2412
|
[4] |
Rau A R P and Wong H Y 1988 Phys. Rev. A 37 632
|
[5] |
Du M L and Delos J B 1988 Phys. Rev. A 38 5609
|
[6] |
Du M L and Delos J B 1987 Phys. Rev. Lett. 58 1731
|
[7] |
Du M L and Delos J B 1988 Phys. Rev. A 38 1896
|
[8] |
Du M L and Delos J B 1988 Phys. Rev. A 38 1913
|
[9] |
Du M L 2004 Phys. Rev. A 70 055402
|
[10] |
Yang G, Zheng Y and Chi X 2006 J. Phys. B: At. Mol. Opt. Phys. 39 1855
|
[11] |
Yang G, Zheng Y and Chi X 2006 Phys. Rev. A 73 043413
|
[12] |
Du M L 2006 Eur. Phys. J. D 38 533
|
[13] |
Zhao H J and Du M L 2007 Phys. Rev. A 76 017401
|
[14] |
Yang G C, Zheng Y and Chi X 2007 J. Theor. Comp. Chem. 6 353
|
[15] |
Zhao H J and Du M L 2009 Phys. Rev. A 79 023408
|
[16] |
Zhao H J, Ma Z J and Du M L 2015 Phys. B: Phys. Condens. Matter 466 54
|
[17] |
Blondel C, Delsart C and Dulieu F 1996 Phys. Rev. Lett. 77 3755
|
[18] |
Blondel C, Chaibi W, Delsart C, Drag C, Goldfarb F and Kroger S 2005 Eur. Phys. J. D 33 335
|
[19] |
Ambalampitiya H and Fabrikant I I 2017 Phys. Rev. A 95 053414
|
[20] |
Bresteau D, Babilotte P, Drag C and Blondel C 2015 J. Phys. B: At. Mol. Opt. Phys. 48 125001
|
[21] |
Zhao H J and Du M L 2018 Phys. B: Phys. Condens. Matter 530 121
|
[22] |
Zhao H J, Liu W L and Du M L 2016 Chin. Phys. B 25 033203
|
[23] |
Yang B C, Delos J B and Du M L 2013 Phys. Rev. A 88 023409
|
[24] |
Yang B C, Delos J B and Du M L 2014 Phys. Rev. A 89 013417
|
[25] |
You X P and Du M L 2017 J. Phys. B: At. Mol. Opt. Phys. 50 145102
|
[26] |
Wang D H and Wang C J 2017 Chin. Phys. B 26 103202
|
[27] |
Ikhdair S M 2012 J. Mod. Phys. 3 170
|
[28] |
Freeman R R, Economou N P, Bjorklund G C and Lu K T 1978 Phys. Rev. Lett. 41 1463
|
[29] |
Jauch J M 1947 Phys. Rev. 72 715
|
[30] |
Fritsche L and Haugk M 2003 Ann. Phys. (Leipzig) 12 377
|
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