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The bound energy spectrum of a position-dependent mass particle which is trapped in a null potential is obtained by combining the point canonical transformation (PCT) method and the analytical transfer matrix (ATM) method. With the calculation for the transmission of a position-dependent mass particle passing through the null potential, the one-to-one correspondence between transmission resonance peak and eigenenergy is found and explained.
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Keywords:
- position-dependent mass /
- null potential /
- bound energy spectrum /
- transmission
[1] Bastard G 1988 Wave Mechanics Applied to Semiconductor Heterostructure (Les Ulis: Editions de Physique)
[2] Serra L I, Lipparini E 1997 Europhys. Lett. 40 667
[3] Arias de Saavedra F, Boronat J, Polls A, Fabrocini A 1994 Phys. Rev. B 50 4248
[4] Barranco M, Pi M, Gatica S M, Hernandez E S, Navarro J 1997 Phys. Rev. B 56 8997
[5] Puente A, Serra L I, Casas M 1994 Z. Phys. D 31 283
[6] Cooper F, Khare A, Sukhatem U 1995 Phys. Rep. 251 267
[7] Chen G 2004 Acta Phys. Sin. 53 680 (in Chinese) [陈 刚 2004 53 680]
[8] Lu F L, Chen C Y 2004 Acta Phys. Sin. 53 688 (in Chinese) [陆法林、 陈昌远 2004 53 688]
[9] Jia C S, Jiang X W, Wang X G, Yang Q B 1997 Acta Phys. Sin. 46 12 (in Chinese)[贾春生、 蒋效卫、 王孝国、 杨秋波 1997 46 12]
[10] Gonul B, Gonul B, Tutcu D, Ozer O 2002 Mod. Phys. Lett. A 17 2057
[11] Mandal B P 2000 Int. J. Mod. Phys. A 15 1225
[12] Roy B 2005 Europhys. Lett. 72 1
[13] Dong S H, Pena J J, Pacheco-Garcia C, Garcia-ravelo J 2007 Mod. Phys. Lett. A 22 1039
[14] Cai C Y, Ren Z Z, Ju G X 2005 Acta Phys. Sin. 54 2528 (in Chinese) [蔡长英、 任中洲、 鞠国兴 2005 54 2528]
[15] Gonul B, Ozer O, Gonul B, Uzgun F 2002 Mod. Phys. Lett. A 37 2453
[16] Cao Z Q, Liu Q, Shen Q S, Dou X M, Chen Y L, Ozaki Y 2001 Phys. Rev. A 63 054103-1
[17] Xu T, Cao Z Q and Fang J H 2008 Chin. Phys. B 17 4378
[18] Ou Y C, Cao Z Q, Shen Q S 2004 J. Phys. A: Math. Gen. 37 4283
[19] Su P Y, Cao Z Q, Chen K S, Yin C, Shen Q S 2008 J. Phys. A: Math. Theor. 41 465301
[20] Miller S C, Good R H 1953 Phys. Rev. 91 174
[21] Pena J J, Ovando G, Morales J, Garcia-Ravelo J, Pacheco-Garcia C 2007 Int. J. Quantum. Chem. 107 3039
[22] Deck R T, Li X S 1995 Am. J. Phys. 63 920
[23] Yamamoto H 1987 Appl. Phys. A 42 245
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[1] Bastard G 1988 Wave Mechanics Applied to Semiconductor Heterostructure (Les Ulis: Editions de Physique)
[2] Serra L I, Lipparini E 1997 Europhys. Lett. 40 667
[3] Arias de Saavedra F, Boronat J, Polls A, Fabrocini A 1994 Phys. Rev. B 50 4248
[4] Barranco M, Pi M, Gatica S M, Hernandez E S, Navarro J 1997 Phys. Rev. B 56 8997
[5] Puente A, Serra L I, Casas M 1994 Z. Phys. D 31 283
[6] Cooper F, Khare A, Sukhatem U 1995 Phys. Rep. 251 267
[7] Chen G 2004 Acta Phys. Sin. 53 680 (in Chinese) [陈 刚 2004 53 680]
[8] Lu F L, Chen C Y 2004 Acta Phys. Sin. 53 688 (in Chinese) [陆法林、 陈昌远 2004 53 688]
[9] Jia C S, Jiang X W, Wang X G, Yang Q B 1997 Acta Phys. Sin. 46 12 (in Chinese)[贾春生、 蒋效卫、 王孝国、 杨秋波 1997 46 12]
[10] Gonul B, Gonul B, Tutcu D, Ozer O 2002 Mod. Phys. Lett. A 17 2057
[11] Mandal B P 2000 Int. J. Mod. Phys. A 15 1225
[12] Roy B 2005 Europhys. Lett. 72 1
[13] Dong S H, Pena J J, Pacheco-Garcia C, Garcia-ravelo J 2007 Mod. Phys. Lett. A 22 1039
[14] Cai C Y, Ren Z Z, Ju G X 2005 Acta Phys. Sin. 54 2528 (in Chinese) [蔡长英、 任中洲、 鞠国兴 2005 54 2528]
[15] Gonul B, Ozer O, Gonul B, Uzgun F 2002 Mod. Phys. Lett. A 37 2453
[16] Cao Z Q, Liu Q, Shen Q S, Dou X M, Chen Y L, Ozaki Y 2001 Phys. Rev. A 63 054103-1
[17] Xu T, Cao Z Q and Fang J H 2008 Chin. Phys. B 17 4378
[18] Ou Y C, Cao Z Q, Shen Q S 2004 J. Phys. A: Math. Gen. 37 4283
[19] Su P Y, Cao Z Q, Chen K S, Yin C, Shen Q S 2008 J. Phys. A: Math. Theor. 41 465301
[20] Miller S C, Good R H 1953 Phys. Rev. 91 174
[21] Pena J J, Ovando G, Morales J, Garcia-Ravelo J, Pacheco-Garcia C 2007 Int. J. Quantum. Chem. 107 3039
[22] Deck R T, Li X S 1995 Am. J. Phys. 63 920
[23] Yamamoto H 1987 Appl. Phys. A 42 245
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