Gravitational Potential;
Relativistic Correction;
Jacobi Polynomial;
Quantum Cosmology;
Heavy Object;
D O I:
10.1140/epjp/i2013-13083-3
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
As the theory of general relativity implies corrections to the classical gravitational potential, we consider the Wheeler-DeWitt equation for anisotropically expanding homogeneous high-dimension spaces with a modified gravitational potential which includes a relativistic correction indicating the Schwarzschild radii of heavy objects. By proposing an approximation scheme, we report the wave function in terms of the Jacobi polynomial. The eigenvalue equation is reported as well.
机构:
Dubna Joint Nucl Res Inst, Informat Technol Lab, Dubna 141980, Moscow Region, RussiaDubna Joint Nucl Res Inst, Informat Technol Lab, Dubna 141980, Moscow Region, Russia