Energy level of an electron in a saddle-potential quantum dot under a uniform magnetic field obtained by the invariant eigenoperator method

doi:10.1088/1674-1056/20/12/120303

Abstract We show that the recently proposed invariant eigenoperator method can be successfully applied to solving the energy levels of an electron in a saddle-potential quantum dot under a uniform magnetic field. The Landau diamagnetism decreases with the value ω_y² - ω_x² due to the existence of the saddle potential.

Keywords: saddle-potential quantum dot energy level of electron invariant eigenoperator method

Received: 16 May 2011
Revised: 25 June 2011
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	73.63.Kv	(Quantum dots)

Fund: Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), the National Natural Science Foundation of China (Grant No. 10874174), the President Foundation of the Chinese Academy of Sciences, and the Open Fund of the State Key Laboratory for Infrared Physics.

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Xie Chuan-Mei(谢传梅) and Fan Hong-Yi(范洪义) Energy level of an electron in a saddle-potential quantum dot under a uniform magnetic field obtained by the invariant eigenoperator method 2011 Chin. Phys. B 20 120303

[1]	Schrödinger E 1928 Four Lectures on Wave Mechanics (London & Glasgow: Blackie & Son Ltd)
[2]	Heisenberg W 1949 The Physical Principles of the Quantum Theory (New York: Dover Publications)
[3]	Fan H Y and Li C 2004 Phys. Lett. A 321 75
[4]	Fan H Y and Wu H 2005 Int. J. Mod. Phys. B 19 4073
[5]	Fan H Y and Tang X B 2005 J. Opt. Phys. B 7 194
[6]	Fan H Y and Jing S C 2005 Mod. Phys. Lett. A 20 691
[7]	Fan H Y, Hu H P and Tang X B 2005 J. Phys. A: Math. Gen. 38 4391
[8]	Fan H Y and Wu H 2004 IL Nuovo Cimento B 119 1105
[9]	Fan H Y and Lu H L 2004 IL Nuovo Cimento B 119 983
[10]	Lu H L and Fan H Y 2009 Chin. Phys. B 18 4657
[11]	Meng X G, Fan H Y and Wang J S 2010 Chin. Phys. B 19 070303
[12]	Landau L D 1930 Zeitschrift fur Physik 64 629
[13]	Landau L D and Lifshitz E M 1977 Quantum Mechanics (Singapore: World Scientific)
[14]	Johnson M H and Lippmann B A 1946 Phys. Rev. 76 828
[15]	Vassilios F, Horing N J M, Sabeeh K, Yar A and Glasser M L 2007 Phys. Rev. B 76 115328

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Energy level of an electron in a saddle-potential quantum dot under a uniform magnetic field obtained by the invariant eigenoperator method

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