Quantum Wormhole with Spinor Field

Wang Wenfu; Tao Caide; Shen Yougen

Chinese Physics C> 1994, Vol. 18> Issue(1) : 52-57

Quantum Wormhole with Spinor Field

Department of Fundamental Science. Southwestern Petroleum Institute,Nanchong 6370012 Department of Physics, Sichuan Normal College, Nanchong 6370023 Shanghai Observatory, Academia Sinica, Shanghai 200030

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Abstract：
Using the Hawking-Page boundary condition, we discuss the quantum wormhole with spinor field. The corresponding Wheeler-De witt equation is derived, and the wave function of the wormhole calculated. After analysing the wormhole's wave function, we found that the probability density of the wormhole appearing at a=0 is zero, and the minimal radius of the wormhole is on the Planck scale.

References

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B.S.Dewitt,Phys.Rev.,160（1967）1113.[2]J.B.Hartle and S.W.Hawking,Phys.Rev.,D28（1983）2960.[3]S.W.Hawking andD.N.Page,Preprint,NSF-ITP-90-76.[4]沈有根，丁浩刚，中国科学，A辑，（待发表）[5]S.W.Hawking,Mod.Phys Lett.,A5（1990）453.[6]S.W.Hawking and D.N.Page,Phys.Rev.,D42（1990）2655.[7]沈有根，天文学报，33（1992）146.[8]T.Christodoulakis and J.Zanelli,Phys.Rev.,D29（1984）2738.[9]A.Vilenkin,Phys.Rev.,D37（1988）888.[10]T.Christodoulakis and C.G.Papadopoulos,Phys.Rev.,D38（1988）1063.[11]M.Visser,Phys.Rev.,D43（1991）402.

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Wang Wenfu, Tao Caide and Shen Yougen. Quantum Wormhole with Spinor Field[J]. Chinese Physics C, 1994, 18(1): 52-57.

Wang Wenfu, Tao Caide and Shen Yougen. Quantum Wormhole with Spinor Field[J]. Chinese Physics C, 1994, 18(1): 52-57. 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

Quantum Wormhole with Spinor Field

Corresponding author: Wang Wenfu,

Department of Fundamental Science. Southwestern Petroleum Institute,Nanchong 6370012 Department of Physics, Sichuan Normal College, Nanchong 6370023 Shanghai Observatory, Academia Sinica, Shanghai 200030

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-01-05

Abstract: Using the Hawking-Page boundary condition, we discuss the quantum wormhole with spinor field. The corresponding Wheeler-De witt equation is derived, and the wave function of the wormhole calculated. After analysing the wormhole's wave function, we found that the probability density of the wormhole appearing at a=0 is zero, and the minimal radius of the wormhole is on the Planck scale.