Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect
Yong-Chang Huang (1, 2), Gang Weng (1) ((1) Y. C. Huang, Institute of, Theoretical Physics, Beijing University of Technology (formerly Beijing, Polytechnic Univ.), Beijing, P. R. China, (2) CCAST (World Lab.), Beijing, P., R. China)
TL;DR
This paper solves the Wheeler-DeWitt equation relating cosmic scale factor and scalar field, analyzing quantum tunneling and potential wells to model the quantum birth of the universe.
Contribution
It introduces a novel approach linking the cosmic scale factor and scalar field to solve the Wheeler-DeWitt equation with applications to cosmic quantum birth.
Findings
Derived a probability distribution for cosmic birth
Analyzed tunnel effect of the cosmic scale factor
Explored quantum potential well of scalar field
Abstract
This paper uses the relation of the cosmic scale factor and scalar field to solve Wheeler-DeWitt equation, gives the tunnel effect of the cosmic scale factor a and quantum potential well of scalar field, and makes it fit with the physics of cosmic quantum birth. By solving Wheeler-DeWitt equation we achieve a general probability distribution of the cosmic birth, and give the analysis of cosmic quantum birth.
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