Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field

doi:10.1088/1674-1056/28/2/023201

中国物理B ›› 2019, Vol. 28 ›› Issue (2): 23201-023201.doi: 10.1088/1674-1056/28/2/023201

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field

Azmat Iqbal, Kiran Humayun, Sana Maqsood, Saba Jawaid, Afaq Ahmad, Amin Ur Rahman, Bakht Amin Bacha

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

收稿日期:2019-09-30 修回日期:2018-10-29 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: Azmat Iqbal E-mail:azmatiqbal786@gmail.com

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 Rahman^1,3, 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

Received:2019-09-30 Revised:2018-10-29 Online:2019-02-05 Published:2019-02-05
Contact: Azmat Iqbal E-mail:azmatiqbal786@gmail.com

摘要/Abstract

摘要：

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.

关键词: photodetachment cross section, harmonic oscillator potential, Stark effect, time-independent Schrödinger equation, WKB approximation

Abstract:

Key words: photodetachment cross section, harmonic oscillator potential, Stark effect, time-independent Schrödinger equation, WKB approximation

中图分类号: (Photodetachment of atomic negative ions)

32.80.Gc

32.60.+i (Zeeman and Stark effects)

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[J]. 中国物理B, 2019, 28(2): 23201-023201.

参考文献 30

[1]	Matin L F, Bouzari H H and Ahmadi F J 2014 Theor. Appl. Phys. 8 140 doi: 10.1007/s40094-014-0140-x
[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 doi: 10.1103/PhysRevLett.58.2412
[4]	Rau A R P and Wong H Y 1988 Phys. Rev. A 37 632 doi: 10.1103/PhysRevA.37.632
[5]	Du M L and Delos J B 1988 Phys. Rev. A 38 5609 doi: 10.1103/PhysRevA.38.5609
[6]	Du M L and Delos J B 1987 Phys. Rev. Lett. 58 1731 doi: 10.1103/PhysRevLett.58.1731
[7]	Du M L and Delos J B 1988 Phys. Rev. A 38 1896 doi: 10.1103/PhysRevA.38.1896
[8]	Du M L and Delos J B 1988 Phys. Rev. A 38 1913 doi: 10.1103/PhysRevA.38.1913
[9]	Du M L 2004 Phys. Rev. A 70 055402 doi: 10.1103/PhysRevA.70.055402
[10]	Yang G, Zheng Y and Chi X 2006 J. Phys. B: At. Mol. Opt. Phys. 39 1855 doi: 10.1088/0953-4075/39/8/004
[11]	Yang G, Zheng Y and Chi X 2006 Phys. Rev. A 73 043413 doi: 10.1103/PhysRevA.73.043413
[12]	Du M L 2006 Eur. Phys. J. D 38 533 doi: 10.1140/epjd/e2006-00042-2
[13]	Zhao H J and Du M L 2007 Phys. Rev. A 76 017401 doi: 10.1103/PhysRevA.76.017401
[14]	Yang G C, Zheng Y and Chi X 2007 J. Theor. Comp. Chem. 6 353 doi: 10.1142/S0219633607002939
[15]	Zhao H J and Du M L 2009 Phys. Rev. A 79 023408 doi: 10.1103/PhysRevA.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 doi: 10.1103/PhysRevLett.77.3755
[18]	Blondel C, Chaibi W, Delsart C, Drag C, Goldfarb F and Kroger S 2005 Eur. Phys. J. D 33 335 doi: 10.1140/epjd/e2005-00069-9
[19]	Ambalampitiya H and Fabrikant I I 2017 Phys. Rev. A 95 053414 doi: 10.1103/PhysRevA.95.053414
[20]	Bresteau D, Babilotte P, Drag C and Blondel C 2015 J. Phys. B: At. Mol. Opt. Phys. 48 125001 doi: 10.1088/0953-4075/48/12/125001
[21]	Zhao H J and Du M L 2018 Phys. B: Phys. Condens. Matter 530 121 doi: 10.1016/j.physb.2017.10.109
[22]	Zhao H J, Liu W L and Du M L 2016 Chin. Phys. B 25 033203 doi: 10.1088/1674-1056/25/3/033203
[23]	Yang B C, Delos J B and Du M L 2013 Phys. Rev. A 88 023409 doi: 10.1103/PhysRevA.88.023409
[24]	Yang B C, Delos J B and Du M L 2014 Phys. Rev. A 89 013417 doi: 10.1103/PhysRevA.89.013417
[25]	You X P and Du M L 2017 J. Phys. B: At. Mol. Opt. Phys. 50 145102 doi: 10.1088/1361-6455/aa77a7
[26]	Wang D H and Wang C J 2017 Chin. Phys. B 26 103202 doi: 10.1088/1674-1056/26/10/103202
[27]	Ikhdair S M 2012 J. Mod. Phys. 3 170 doi: 10.4236/jmp.2012.32023
[28]	Freeman R R, Economou N P, Bjorklund G C and Lu K T 1978 Phys. Rev. Lett. 41 1463 doi: 10.1103/PhysRevLett.41.1463
[29]	Jauch J M 1947 Phys. Rev. 72 715 doi: 10.1103/PhysRev.72.715
[30]	Fritsche L and Haugk M 2003 Ann. Phys. (Leipzig) 12 377

Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field

Quantum photodetachment of hydrogen negative ion in a harmonic potential subjected to static electric field

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	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). Formation of high-density cold molecules via electromagnetic trap[J]. 中国物理B, 2022, 31(10): 103201-103201.
[2]	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). Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state[J]. 中国物理B, 2021, 30(11): 113301-113301.
[3]	Hristina Delibašić, Violeta Petrović. Ellipticity-dependent ionization yield for noble atoms[J]. 中国物理B, 2019, 28(8): 83201-083201.
[4]	顾跃凤, 陈凯, 黄云霞, 杨晓华. Laser-assisted Stark deceleration of CaF in its rovibronic ground (high-field-seeking) state[J]. 中国物理B, 2019, 28(4): 43702-043702.
[5]	赵海军, 刘伟龙, 杜孟利. Quantum and semiclassical studies on photodetachment cross sections of H^- in a harmonic potential[J]. 中国物理B, 2016, 25(3): 33203-033203.
[6]	王庆辉, 邵旭萍, 杨晓华. Stark effect of the hyperfine structure of ICl in its rovibronic ground state: Towards further molecular cooling[J]. 中国物理B, 2016, 25(1): 13301-013301.
[7]	王松柏, 雷光玖, 刘东平, 杨思泽. Balmer-alpha and Balmer-beta Stark line intensity profiles for high-power hydrogen inductively coupled plasmas[J]. , 2014, 23(7): 75201-075201.
[8]	杨海峰, 高伟, 成红, 刘红平. Nonlinear spectroscopy of barium in parallel electric and magnetic fields[J]. 中国物理B, 2014, 23(10): 103201-103201.
[9]	曹文彧, 贺永发, 陈钊, 杨薇, 杜为民, 胡晓东. Effects of prestrained InGaN interlayer on the emission properties of InGaN/GaN multiple quantum wells in a laser diode structure[J]. 中国物理B, 2013, 22(7): 76803-076803.
[10]	杨海峰, 高伟, 成红, 柳晓军, 刘红平. Stark spectrum of barium in highly excited Rydberg states[J]. Chin. Phys. B, 2013, 22(1): 13202-013202.
[11]	陈菊华, 王永久. Quasinormal modes of the scalar field in five-dimensional Lovelock black hole spacetime[J]. 中国物理B, 2010, 19(6): 60401-060401.
[12]	张敏, 班士良. Screening influence on the Stark effect of impurity states in strained wurtzite GaN/Al_xGa_1-xN heterojunctions under pressure[J]. 中国物理B, 2009, 18(12): 5437-5442.
[13]	张敏, 班士良. Pressure influence on the Stark effect of impurity states in a strained wurtzite GaN/Al_xGa_1-xN heterojunction[J]. 中国物理B, 2009, 18(10): 4449-4455.
[14]	邓联忠, 符广彬, 印建平. Theoretical study of slowing supersonic CH₃F molecular beams using electrostatic Stark decelerator[J]. 中国物理B, 2009, 18(1): 149-156.
[15]	王德华, 于永江. Photodetachment of H^-- in an electric field between two parallel interfaces[J]. 中国物理B, 2008, 17(4): 1231-1236.