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

Gao Xiaochun; Gao Jun; Fu Jian

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《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

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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

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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）].

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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

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

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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.