Invariant-Related Unitary Transformation and the Evolution of the Wave Function of the Universe in Third-Quantized Cosmology

Gao Xiaochun; Gao Jun; Fu Jian

Chinese Physics C> 1996, Vol. 20> Issue(S1) : 61-69

Invariant-Related Unitary Transformation and the Evolution of the Wave Function of the Universe in Third-Quantized Cosmology

Department of Physics, Zhejiang University, Hangzhou, China

Abstract
HTML
Reference
Related

PDF

Abstract：
On the basis of the generalized invariant theory, the invariant-related unitary transformation method is developed and used to study the evolution of the third-quantized wave functions of the universe. The expressions for the phases and the wave functions are obtained. Then, by means of the construction of the coherent state, the solutions of the Wheeler-DeW itt equation and the quantum fluctuations caused by the third quantization are found.
- invariant-related unitary transformation ,
- third-quantized wave function of the universe ,
- solutions of the Wheeler-DeW itt equation ,
- quantum fluctuations

[1]	Long Huang , Xiaofeng Yang , Xiang Liu . Observational constraint on dark energy from quantum uncertainty. Chinese Physics C, 2021, 45(12): 125102. doi: 10.1088/1674-1137/ac2946
[2]	A. Plastino , M. C. Rocca . Tsallis' quantum q-fields. Chinese Physics C, 2018, 42(5): 053102. doi: 10.1088/1674-1137/42/5/053102
[3]	Xue Pan , Yu-Fu Lin , Li-Zhu Chen , Ming-Mei Xu , Yuan-Fang Wu . Poisson baseline of net-charge fluctuations in relativisticheavy ion collisions. Chinese Physics C, 2018, 42(7): 074104. doi: 10.1088/1674-1137/42/7/074104
[4]	A. R. Abdulghany . An analytical formula for fluctuations in nuclear charge density. Chinese Physics C, 2018, 42(7): 074101. doi: 10.1088/1674-1137/42/7/074101
[5]	Yunlong Zheng , Yicen Mou , Haomin Rao , Mingzhe Li . Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe. Chinese Physics C, 2018, 42(3): 035102. doi: 10.1088/1674-1137/42/3/035102
[6]	Kai Xiao , Feng Liu , Fu-Qiang Wang . Eccentricity fluctuations are not the only source of elliptic flow fluctuations in a multiphase transport model. Chinese Physics C, 2017, 41(9): 094103. doi: 10.1088/1674-1137/41/9/094103
[7]	Z. Molaee , A. Boumali . Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions. Chinese Physics C, 2013, 37(7): 073104. doi: 10.1088/1674-1137/37/7/073104
[8]	H. Hassanabadi , B. H. Yazarloo . Exact solutions of the Spinless-Salpeter equation under Kink-Like potential. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101
[9]	HOU Zhao-Yu , GUO Peng , WU Wen-Wang . Uncertainty study of D_S^-(D^-)→γlν (l=e,μ) decays determined by wave function. Chinese Physics C, 2011, 35(7): 603-607. doi: 10.1088/1674-1137/35/7/001
[10]	ZHU Xiang-Rong , ZHOU Dai-Cui . Gluon number fluctuations with heavy quarks at HERA. Chinese Physics C, 2011, 35(10): 902-907. doi: 10.1088/1674-1137/35/10/003
[11]	Sayipjamal Dulat , LI Kang , . Landau problem in noncommutative quantum mechanics. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
[12]	ZHOU Dai-Mei , WANG Ya-Ping , WEI Li-Hua , CAI Xu . Correlations and fluctuations in high energy heavy ion collision experiments. Chinese Physics C, 2008, 32(5): 400-418. doi: 10.1088/1674-1137/32/5/016
[13]	Gao Xiaochun , Gao Jun , Fu Jian . Invariant-Related Unitary Transformation Method and Evolution of the Third-Quantized Wave Function of the Universe. Chinese Physics C, 1996, 20(3): 226-233.
[14]	Li Fubin . Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics. Chinese Physics C, 1992, 16(S2): 173-177.
[15]	Luo Zhenfei , Qiu Xijun . Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium. Chinese Physics C, 1991, 15(S4): 427-429.
[16]	Yan Jun , Hu Shike . Compact Baby Universe Model in 10 Dimensions and Probability Function of Quantum Gravity. Chinese Physics C, 1991, 15(S4): 353-360.
[17]	Li Zhuxia , Shi Yijing , Wu Xizhen , Wang Zhongqi , Zhuo Yizhong . Quantum Effect and One-Body Dissipation. Chinese Physics C, 1990, 14(S3): 291-299.
[18]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.
[19]	Mao Naifeng , Li Zenghai . Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours. Chinese Physics C, 1989, 13(S2): 149-156.
[20]	Lin Chunzhen , Wu Chongshi , Zeng Jinyan . Seniority and K-Structure of the Cranked Shell Model Wave Function (I) Even-Even Nuclei. Chinese Physics C, 1988, 12(S4): 415-424.

Access

Get Citation

Gao Xiaochun, Gao Jun and Fu Jian. Invariant-Related Unitary Transformation and the Evolution of the Wave Function of the Universe in Third-Quantized Cosmology[J]. Chinese Physics C, 1996, 20(S1): 61-69.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1995-03-03

Fund

Supported by the National Natural Science Foundation of China, the Zhejiang Provincial Natural Science Foundation of China, and the Foundation of the Ph.D.-Training Program of China.

Article Metric

Article Views(1327)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Invariant-Related Unitary Transformation and the Evolution of the Wave Function of the Universe in Third-Quantized Cosmology

Department of Physics, Zhejiang University, Hangzhou, China

Received Date: 1995-03-03

Fund Project: Supported by the National Natural Science Foundation of China, the Zhejiang Provincial Natural Science Foundation of China, and the Foundation of the Ph.D.-Training Program of China.

Abstract: On the basis of the generalized invariant theory, the invariant-related unitary transformation method is developed and used to study the evolution of the third-quantized wave functions of the universe. The expressions for the phases and the wave functions are obtained. Then, by means of the construction of the coherent state, the solutions of the Wheeler-DeW itt equation and the quantum fluctuations caused by the third quantization are found.