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

Gao Xiaochun; Gao Jun; Fu Jian

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(3) : 226-233

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

Department of Physics,Zhejiang Umiversity,Hangzhou 310027

Abstract
HTML
Reference
Related

PDF

Abstract：
On the basis of the generalized invariant theory, the invariant-related unitary transfoumation method is developed and used to study the evolution of the third-quantized wave function 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-DeWitt equation and the quantum fluctuations caused by the third quantization are found.

References

[1]

H.R Lewis,W B.Riesenfeld,J Math.Phys,10（1969）1485.[2] Xiaochun Gao,Jingbo Xu,Tiezheng Qian,Phys Lett.,152A（1991）449;Xiaochun Gao,Jingbo Xu,Jun Gao,Prog Theor.Phys,87（1992）861.[3] L.Yeh,Phys.Rev.,47A（1993）;3587;K.H.Yeon et al,Phys Rev.,50A（1994）1035.[4] Xiaochun Gao,Jingbo Xu,Tiezheng,Qian Phys.Rev.,44A（1991）7016.[5] B.S.Dewitt,Phys Rev.,160（1967）1113.[6] JA Wheeler,in Battelle Rencontres,editedby C.De Wittand J.A Wheeler（Benjamin,New York,1968）.Phys Rev.,33D（1986）3560.[8] M.Mc Guigan Phys.Rev.,38D（1988）3031;Phys Rev.,39D（1989）2229.[9] AHososa,Phys.Rev.,39D（1989）1123.[10] V.A Rubakov,Phys.Lett.,214B（1988）503;T.Banks,Nrcl.Phys.,309B（1988）493;S.B.Gidding,A Strominew,Nucl.Phys.,321B（1989）481.[11] S.Are,Phys.Rev.,47D（1993）718.[12] Hans-Jurgen Pohle,Phys Lett.,261B（1991）257.[13] J.Wei,E.Nouman,J Math.Phys.（N Y）,4（1963）575.[14] Xiaochun Gao,Jingbo Xu,Tiezheng Qian Ann.Phys.（N.Y.）,204（1990）235.[15] N.Bohr,L.Rosenfeld,K.Dan.Vidensk.Selsk.,Mat.fys.Medd,12（1933）[ Enghshtredationsprintedin Quantum Theoryand Measurement,editedby J.A Wheeler,W.H.Zurek（Prinoeton University,Press,Prinoeton,N J,1983）].

[1]	XING Zhi-Zhong , ZHOU Shun . Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?. Chinese Physics C, 2006, 30(9): 828-832.
[2]	LI Xi-Guo , SONG Jian-Jun , XING Yong-Zhong , ZUO Wei . Quantization of the Periodic Orbits and Long-Range Correlations in Quantum Spectra. Chinese Physics C, 2002, 26(5): 484-490.
[3]	Guo Jianyou , Xu Fuxin , Ruan Tunan . Quantization of Nuclear Hexadecapole Vibration in the Space of Parameter. Chinese Physics C, 1999, 23(9): 873-879.
[4]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[5]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[6]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[7]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[8]	HOU Bo-Yu , YANG Huan-Xiong . The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[9]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[10]	PENG Hong-An . Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[11]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[12]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ). Chinese Physics C, 1989, 13(6): 503-511.
[13]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[14]	JING Si-Cong , RUAN Tu-Nan . ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[15]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[16]	XU Kai-Wen . COVARIANT AND QUANTIZATION OF SPINNING STRING IN M_d×G SPACE-TIME. Chinese Physics C, 1988, 12(3): 315-323.
[17]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[18]	Wu Jing-yuan . QUANTIZATION OF THE PHOTON FIELD AND DIPOLE GHOSTS. Chinese Physics C, 1980, 4(3): 291-301.
[19]	CHEN JIN-QUAN , GAO MEI-JUAN , WANG FAN . ON THE PHASE AND THE REPRESENTATION TRANSFORMATIONS OF SU_n BARYON AND MESON WAVE FUNCTIONS. Chinese Physics C, 1979, 3(4): 408-417.
[20]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.

Access

Get Citation

Gao Xiaochun, Gao Jun and Fu Jian. Invariant-Related Unitary Transformation Method and Evolution of the Third-Quantized Wave Function of the Universe[J]. Chinese Physics C, 1996, 20(3): 226-233.

Gao Xiaochun, Gao Jun and Fu Jian. Invariant-Related Unitary Transformation Method and Evolution of the Third-Quantized Wave Function of the Universe[J]. Chinese Physics C, 1996, 20(3): 226-233. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3066)
PDF Downloads(541)
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 Method and Evolution of the Third-Quantized Wave Function of the Universe

Corresponding author: Gao Xiaochun,

Department of Physics,Zhejiang Umiversity,Hangzhou 310027

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-03-05

Abstract: On the basis of the generalized invariant theory, the invariant-related unitary transfoumation method is developed and used to study the evolution of the third-quantized wave function 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-DeWitt equation and the quantum fluctuations caused by the third quantization are found.