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The density of states for an ideal Bose gas in a γ-dimensional potential is obtained. Morever, the spatial distribution of particle numerical density is derived in the Thomas-Fermi semiclassical approximation. On this basis, the valid gain range of space for atom laser (that is the valid trapped range of ideal Bose gas in γ-dimensional potential) is given, and the influence of some important factors is also discussed.
[1] Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[2] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[3] Yuan D Q 2006 Acta Phys. Sin. 55 1634 (in Chinese) [袁都奇 2006 55 1634]
[4] Kagan Y, Shlyapnikov G V, Walravan J T M 1996 Phys. Rev. Lett. 76 2670
[5] Yan K Z, Tan W H 2000 Acta Phys. Sin. 49 1909 (in Chinese) [闫珂柱、谭维翰 2000 49 1909]
[6] Wang C, Yan K Z 2004 Acta Phys. Sin. 53 1284 (in Chinese) [王 翀、闫珂柱 2004 53 1284]
[7] Yu X C, Ye Y T, Cheng L 2006 Acta Phys. Sin. 55 551 (in Chinese) [余学才、叶玉堂、程 琳 2006 55 551]
[8] Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582
[9] Yin J L, Liu C Y, Yang Y Y, Liu J, Fan G H 2004 Acta Phys. Sin. 53 356 (in Chinese) [殷建玲、刘承宜、杨友源、刘 江、范广涵 2004 53 356]
[10] Zhou M, Huang C G 2004 Acta Phys. Sin. 53 54 (in Chinese) [周 明、黄春佳 2004 53 54]
[11] Li M, Sun J X 2006 Acta Phys. Sin. 55 2702 (in Chinese) [李 明、孙久勋 2006 55 2702]
[12] Mao B N, Pan B L, Chen G,Xia T T 2006 Acta Phys. Sin. 55 1793 (in Chinese) [毛邦宁、潘佰良、陈 钢、夏婷婷 2006 物 理学报 55 1793] 〖13] Zhou Y X, Xia Q F, Sun C Y 2008 J. At.Mol.Phys. 25 0633 (in Chinese) [周玉欣、夏庆峰、孙长勇 2008 原子与分子 25 0633]
[13] Zhao J G, Sun C Y, Wen L H, Liang B L 2009 Chin. Phys. B 18 2294
[14] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[15] Ji C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[16] Zhao J G, Sun C Y, Meng X G, Su J 2009 Acta Phys. Sin. 58 6985 (in Chinese) [赵建刚、孙长勇、孟祥国、苏 杰 2009 58 6985]
[17] Zhao J G, Sun C Y, Liang B L, Su J 2009 Acta Phys. Sin. 58 4635 (in Chinese) [赵建刚、孙长勇、梁宝龙、苏 杰 2009 58 4635]
[18] Zong F D, Yang Y, Zhang J F 2009 Acta Phys. Sin. 58 3670 (in Chinese) [宗丰德、杨 阳、张解放 2009 58 3670]
[19] Li M Z,Chen L X, Chen C H 1999 Phys. Rev. A 59 3109
[20] Yu X C, Mo, Y 2004 Acta Phys. Sin. 53 4075 (in Chinese) [余学才、莫 影 2004 53 4075]
[21] Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
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[1] Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[2] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[3] Yuan D Q 2006 Acta Phys. Sin. 55 1634 (in Chinese) [袁都奇 2006 55 1634]
[4] Kagan Y, Shlyapnikov G V, Walravan J T M 1996 Phys. Rev. Lett. 76 2670
[5] Yan K Z, Tan W H 2000 Acta Phys. Sin. 49 1909 (in Chinese) [闫珂柱、谭维翰 2000 49 1909]
[6] Wang C, Yan K Z 2004 Acta Phys. Sin. 53 1284 (in Chinese) [王 翀、闫珂柱 2004 53 1284]
[7] Yu X C, Ye Y T, Cheng L 2006 Acta Phys. Sin. 55 551 (in Chinese) [余学才、叶玉堂、程 琳 2006 55 551]
[8] Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582
[9] Yin J L, Liu C Y, Yang Y Y, Liu J, Fan G H 2004 Acta Phys. Sin. 53 356 (in Chinese) [殷建玲、刘承宜、杨友源、刘 江、范广涵 2004 53 356]
[10] Zhou M, Huang C G 2004 Acta Phys. Sin. 53 54 (in Chinese) [周 明、黄春佳 2004 53 54]
[11] Li M, Sun J X 2006 Acta Phys. Sin. 55 2702 (in Chinese) [李 明、孙久勋 2006 55 2702]
[12] Mao B N, Pan B L, Chen G,Xia T T 2006 Acta Phys. Sin. 55 1793 (in Chinese) [毛邦宁、潘佰良、陈 钢、夏婷婷 2006 物 理学报 55 1793] 〖13] Zhou Y X, Xia Q F, Sun C Y 2008 J. At.Mol.Phys. 25 0633 (in Chinese) [周玉欣、夏庆峰、孙长勇 2008 原子与分子 25 0633]
[13] Zhao J G, Sun C Y, Wen L H, Liang B L 2009 Chin. Phys. B 18 2294
[14] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[15] Ji C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[16] Zhao J G, Sun C Y, Meng X G, Su J 2009 Acta Phys. Sin. 58 6985 (in Chinese) [赵建刚、孙长勇、孟祥国、苏 杰 2009 58 6985]
[17] Zhao J G, Sun C Y, Liang B L, Su J 2009 Acta Phys. Sin. 58 4635 (in Chinese) [赵建刚、孙长勇、梁宝龙、苏 杰 2009 58 4635]
[18] Zong F D, Yang Y, Zhang J F 2009 Acta Phys. Sin. 58 3670 (in Chinese) [宗丰德、杨 阳、张解放 2009 58 3670]
[19] Li M Z,Chen L X, Chen C H 1999 Phys. Rev. A 59 3109
[20] Yu X C, Mo, Y 2004 Acta Phys. Sin. 53 4075 (in Chinese) [余学才、莫 影 2004 53 4075]
[21] Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
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