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The right-hand inverse operator of the annihilation operators and the left-hand inverse operator of the creation operator are given by using the contour integration. Furthermore, the corresponding relation between the right-hand inverse or left-hand inverse operator derived and the column elementary transformation or row transformation of a matrix is investigated.
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Keywords:
- left-hand inverse operator /
- right-hand inverse operator /
- IWOP technique /
- elementary transformation of a matrix
[1] Wang J S 1991 Acta Phys. Sin. 40 547(in Chinese) [王继锁 1991 40 547]
[2] Fan H Y 2005 From Quantum Mechanics to Quantum Optics (Shanghai:Shanghai Jiao Tong University Press) p298 (in Chinese) [范洪义 2005 从量子力学到量子光学 (上海:上海交通大学出版社) 第298页]
[3] Xu S M, Jiang J J, Li H Q, Xu X L 2008 Acta Phys. Sin. 57 7430(in Chinese)[徐世民、 蒋继建、 李洪奇、 徐兴磊 2008 57 7430]
[4] Xu S M , Xu X L , Jiang J J , Li H Q, Wang J S 2008 Chin. Phys. B 17 4369
[5] Xu S M, Xu X L, Li H Q, Wang J S 2009 Acta Phys. Sin. 58 2174(in Chinese)[徐世民、徐兴磊、李洪奇、王继锁 2009 58 2174]
[6] Xu S M, Xu X L, Li H Q, Wang J S 2009 Chin. Phys. B 18 2129
[7] Li H Q, Xu S M, Xu X L , Jiang J J 2009 Acta Phys. Sin. 58 3806(in Chinese)[李洪奇、 徐世民、 徐兴磊、 蒋继建 2008 物 理学报 58 3806] 〖8] Liang K M 1998 Methods of Mathematical Physics 3nd ed (Beijing:Higher Education Press) p37 (in Chinese) [梁昆淼 1998 数学物理方法 (第三版) (北京:高等教育出版社) 第37页]
[8] Fan H Y,Tang X B 2008 Development of the Mathematical Physics of the Quantum Mechanics (Hefei:University of Science and Technology of China Press) p7 [范洪义、唐绪兵 2008 量子力学数理基础进展(合肥:中国科学技术大学出版社)第7页]
[9] Zeng J Y 1984 Quantum Mechanics (Beijing: Science Press), p114[曾谨言 1984 量子力学(北京:科学出版社)第114页]
[10] Tongji University Mathematics Teaching and Research 2000 Linear Algebra 3nd ed (Beijing: Higher Education Press), p90 [同济大学数学教研室 2000 线性代数(第三版)(北京:高等教育出版社)第90页]
[11] Zhou S X 1979 Quantum Mechanics Tutorial (Beijing: Higher Education Press), p127 [周世勋 1979 量子力学教程(北京:高等教育出版社)第127页]
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[1] Wang J S 1991 Acta Phys. Sin. 40 547(in Chinese) [王继锁 1991 40 547]
[2] Fan H Y 2005 From Quantum Mechanics to Quantum Optics (Shanghai:Shanghai Jiao Tong University Press) p298 (in Chinese) [范洪义 2005 从量子力学到量子光学 (上海:上海交通大学出版社) 第298页]
[3] Xu S M, Jiang J J, Li H Q, Xu X L 2008 Acta Phys. Sin. 57 7430(in Chinese)[徐世民、 蒋继建、 李洪奇、 徐兴磊 2008 57 7430]
[4] Xu S M , Xu X L , Jiang J J , Li H Q, Wang J S 2008 Chin. Phys. B 17 4369
[5] Xu S M, Xu X L, Li H Q, Wang J S 2009 Acta Phys. Sin. 58 2174(in Chinese)[徐世民、徐兴磊、李洪奇、王继锁 2009 58 2174]
[6] Xu S M, Xu X L, Li H Q, Wang J S 2009 Chin. Phys. B 18 2129
[7] Li H Q, Xu S M, Xu X L , Jiang J J 2009 Acta Phys. Sin. 58 3806(in Chinese)[李洪奇、 徐世民、 徐兴磊、 蒋继建 2008 物 理学报 58 3806] 〖8] Liang K M 1998 Methods of Mathematical Physics 3nd ed (Beijing:Higher Education Press) p37 (in Chinese) [梁昆淼 1998 数学物理方法 (第三版) (北京:高等教育出版社) 第37页]
[8] Fan H Y,Tang X B 2008 Development of the Mathematical Physics of the Quantum Mechanics (Hefei:University of Science and Technology of China Press) p7 [范洪义、唐绪兵 2008 量子力学数理基础进展(合肥:中国科学技术大学出版社)第7页]
[9] Zeng J Y 1984 Quantum Mechanics (Beijing: Science Press), p114[曾谨言 1984 量子力学(北京:科学出版社)第114页]
[10] Tongji University Mathematics Teaching and Research 2000 Linear Algebra 3nd ed (Beijing: Higher Education Press), p90 [同济大学数学教研室 2000 线性代数(第三版)(北京:高等教育出版社)第90页]
[11] Zhou S X 1979 Quantum Mechanics Tutorial (Beijing: Higher Education Press), p127 [周世勋 1979 量子力学教程(北京:高等教育出版社)第127页]
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