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By solving Schrdinger equation exactly, we obtain the neutron wave function in the slit. With the Kirchhoff’s law, we obtain the neutron diffraction function. Finally, we obtain the mathematical relation between the relative diffraction intensity of neutron double-slit diffraction and the diffraction position. The calculation result is in accordance with the experimental data.
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Keywords:
- neutron diffraction /
- Schrdinger equation /
- Kirchhoff’s law
[1] ［1］Carnal O, Mlynek J, Konstanz U 1991 Phys. Rev. Lett. 66 2689
[2] ［2］Schllkopf W, Toennies J P 1994 Science 266 1345
[3] ［3］Arudt M, Nairz O, Voss-Andreae J 1999 Nature 401 680
[4] ［4］Nairz O, Arudz M, Zeilinger A 2000 J. Mod. Opt. 47 2811
[5] ［5］Kunze S, Dieckmann K, Rempe G 1997 Phys. Rev. Lett. 78 2038
[6] ［6］Ding D, Huang J, Compton R N, Klots C E, Haufler R E 1994 Phys. Rev. Lett. 73 1084
[7] ［7］Sanz A S, Borondo F, Bastiaans M J 2005 Phys. Rev. A 71 042103
[8] ［8］Sun G A, Chen B, Chen H, Wu E D, Zhang J, Vincent J, Darren H, Thilo P 2009 Acta Phys. Sin. 58 2549 (in Chinese) ［孙光爱、陈波、陈华、吴二冬、张俊、Vincent J、 Darren H、 Thilo P 2009 58 2549］
[9] ［9］Xu M, Shen W, Gao Z, Zhao L L, Jiang B, Yang L, Zhang L T 2005 Acta Phys. Sin. 54 3302 (in Chinese) ［徐敏、沈雯、高瞻、赵良磊、姜蓓、杨磊、张澜庭 2005 54 3302］
[10] ］ Xu P S, Deng R, Pan H B, Xu F Q, Xie C K, Li Y H 2004 Acta Phys. Sin. 53 1171 (in Chinese) ［徐彭寿、邓锐、潘海斌、徐法强、谢长坤、李拥华 2004 53 1171］
[11] ］ Liang W X, Zhu P F, Wang X, Nie S H, Zhang Z C, Cao J M, Sheng Z M, Zhang J 2009 Acta Phys. Sin. 58 5546 (in Chinese) ［梁文锡、朱鹏飞、 王暄、聂守华、张忠超、曹建明、盛政明、张杰 2009 58 5546］
[12] ］ Liu W M, Wu B， Niu Q 2000 Phys. Rev. Lett. 84 2294
[13] ］ Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[14] ］ Zhang X F, Yang Q, Zhang J F, Chen X Z , Liu W M 2008 Phys. Rev. A 77 023613
[15] ］ Schwartz M 1972 Principles of Electrodynamics (Oxford: Oxford University Press) p273
[16] ］ Zeilinger A, Gahler R, Shull C G, Treimer W, Mampe W 1988 Rev. Mod. Phys. 60 1067
-
[1] ［1］Carnal O, Mlynek J, Konstanz U 1991 Phys. Rev. Lett. 66 2689
[2] ［2］Schllkopf W, Toennies J P 1994 Science 266 1345
[3] ［3］Arudt M, Nairz O, Voss-Andreae J 1999 Nature 401 680
[4] ［4］Nairz O, Arudz M, Zeilinger A 2000 J. Mod. Opt. 47 2811
[5] ［5］Kunze S, Dieckmann K, Rempe G 1997 Phys. Rev. Lett. 78 2038
[6] ［6］Ding D, Huang J, Compton R N, Klots C E, Haufler R E 1994 Phys. Rev. Lett. 73 1084
[7] ［7］Sanz A S, Borondo F, Bastiaans M J 2005 Phys. Rev. A 71 042103
[8] ［8］Sun G A, Chen B, Chen H, Wu E D, Zhang J, Vincent J, Darren H, Thilo P 2009 Acta Phys. Sin. 58 2549 (in Chinese) ［孙光爱、陈波、陈华、吴二冬、张俊、Vincent J、 Darren H、 Thilo P 2009 58 2549］
[9] ［9］Xu M, Shen W, Gao Z, Zhao L L, Jiang B, Yang L, Zhang L T 2005 Acta Phys. Sin. 54 3302 (in Chinese) ［徐敏、沈雯、高瞻、赵良磊、姜蓓、杨磊、张澜庭 2005 54 3302］
[10] ］ Xu P S, Deng R, Pan H B, Xu F Q, Xie C K, Li Y H 2004 Acta Phys. Sin. 53 1171 (in Chinese) ［徐彭寿、邓锐、潘海斌、徐法强、谢长坤、李拥华 2004 53 1171］
[11] ］ Liang W X, Zhu P F, Wang X, Nie S H, Zhang Z C, Cao J M, Sheng Z M, Zhang J 2009 Acta Phys. Sin. 58 5546 (in Chinese) ［梁文锡、朱鹏飞、 王暄、聂守华、张忠超、曹建明、盛政明、张杰 2009 58 5546］
[12] ］ Liu W M, Wu B， Niu Q 2000 Phys. Rev. Lett. 84 2294
[13] ］ Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[14] ］ Zhang X F, Yang Q, Zhang J F, Chen X Z , Liu W M 2008 Phys. Rev. A 77 023613
[15] ］ Schwartz M 1972 Principles of Electrodynamics (Oxford: Oxford University Press) p273
[16] ］ Zeilinger A, Gahler R, Shull C G, Treimer W, Mampe W 1988 Rev. Mod. Phys. 60 1067
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