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

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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
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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.

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Received: 1995-03-03

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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.

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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 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.