Please wait a minute...
Chin. Phys. B, 2019, Vol. 28(2): 023201    DOI: 10.1088/1674-1056/28/2/023201
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

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
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.

Keywords:  photodetachment cross section      harmonic oscillator potential      Stark effect      time-independent Schrödinger equation      WKB approximation  
Received:  30 September 2019      Revised:  29 October 2018      Accepted manuscript online: 
PACS:  32.80.Gc (Photodetachment of atomic negative ions)  
  32.60.+i (Zeeman and Stark effects)  
Corresponding Authors:  Azmat Iqbal     E-mail:  azmatiqbal786@gmail.com

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

[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
[1] Formation of high-density cold molecules via electromagnetic trap
Ya-Bing Ji(纪亚兵), Bin Wei(魏斌), Heng-Jiao Guo(郭恒娇), Qing Liu(刘青), Tao Yang(杨涛), Shun-Yong Hou(侯顺永), and Jian-Ping Yin(印建平). Chin. Phys. B, 2022, 31(10): 103201.
[2] Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state
Defu Wang(王得富), Xuping Shao(邵旭萍), Yunxia Huang(黄云霞), Chuanliang Li(李传亮), and Xiaohua Yang(杨晓华). Chin. Phys. B, 2021, 30(11): 113301.
[3] Ellipticity-dependent ionization yield for noble atoms
Hristina Deliba?i?, Violeta Petrovi?. Chin. Phys. B, 2019, 28(8): 083201.
[4] Laser-assisted Stark deceleration of CaF in its rovibronic ground (high-field-seeking) state
Yuefeng Gu(顾跃凤), Kai Chen(陈凯), Yunxia Huang(黄云霞), Xiaohua Yang(杨晓华). Chin. Phys. B, 2019, 28(4): 043702.
[5] Quantum and semiclassical studies on photodetachment cross sections of H- in a harmonic potential
Hai-Jun Zhao(赵海军), Wei-Long Liu(刘伟龙), Meng-Li Du(杜孟利). Chin. Phys. B, 2016, 25(3): 033203.
[6] Stark effect of the hyperfine structure of ICl in its rovibronic ground state: Towards further molecular cooling
Qing-Hui Wang(王庆辉), Xu-Ping Shao(邵旭萍), Xiao-Hua Yang(杨晓华). Chin. Phys. B, 2016, 25(1): 013301.
[7] Balmer-alpha and Balmer-beta Stark line intensity profiles for high-power hydrogen inductively coupled plasmas
Wang Song-Bai (王松柏), Lei Guang-Jiu (雷光玖), Liu Dong-Ping (刘东平), Yang Si-Ze (杨思泽). Chin. Phys. B, 2014, 23(7): 075201.
[8] Nonlinear spectroscopy of barium in parallel electric and magnetic fields
Yang Hai-Feng (杨海峰), Gao Wei (高伟), Cheng Hong (成红), Liu Hong-Ping (刘红平). Chin. Phys. B, 2014, 23(10): 103201.
[9] Effects of prestrained InGaN interlayer on the emission properties of InGaN/GaN multiple quantum wells in a laser diode structure
Cao Wen-Yu (曹文彧), He Yong-Fa (贺永发), Chen Zhao (陈钊), Yang Wei (杨薇), Du Wei-Min (杜为民), Hu Xiao-Dong (胡晓东). Chin. Phys. B, 2013, 22(7): 076803.
[10] Stark spectrum of barium in highly excited Rydberg states
Yang Hai-Feng (杨海峰), Gao Wei (高伟), Cheng Hong (成红), Liu Xiao-Jun (柳晓军), Liu Hong-Ping (刘红平). Chin. Phys. B, 2013, 22(1): 013202.
[11] Quasinormal modes of the scalar field in five-dimensional Lovelock black hole spacetime
Chen Ju-Hua(陈菊华) and Wang Yong-Jiu(王永久). Chin. Phys. B, 2010, 19(6): 060401.
[12] Screening influence on the Stark effect of impurity states in strained wurtzite GaN/AlxGa1-xN heterojunctions under pressure
Zhang Min(张敏) and Ban Shi-Liang(班士良) . Chin. Phys. B, 2009, 18(12): 5437-5442.
[13] Pressure influence on the Stark effect of impurity states in a strained wurtzite GaN/AlxGa1-xN heterojunction
Zhang Min(张敏) and Ban Shi-Liang(班士良). Chin. Phys. B, 2009, 18(10): 4449-4455.
[14] Theoretical study of slowing supersonic CH3F molecular beams using electrostatic Stark decelerator
Deng Lian-Zhong(邓联忠), Fu Guang-Bin(符广彬), and Yin Jian-Ping(印建平). Chin. Phys. B, 2009, 18(1): 149-156.
[15] Photodetachment of H-- in an electric field between two parallel interfaces
Wang De-Hua(王德华) and Yu Yong-Jiang(于永江). Chin. Phys. B, 2008, 17(4): 1231-1236.
No Suggested Reading articles found!