On Hamiltonian formulation of cosmologies

Pramana

S Dutta¹  K D Krori1² 

[1] Shrimanta Shankar Academy, Guwahati 781 001, India$$;Mathematical Physics Forum, Cotton College, Guwahati 781 001, India$$

关键词: Hamiltonian formulation;    some cosmologies.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Novello et al [1,2] have shown that it is possible to find a pair of canonically conjugate variables (written in terms of gauge-invariant variables) so as to obtain a Hamiltonian that describes the dynamics of a cosmological system. This opens up the way to the usual technique of quantization. Elbaz et al [4] have applied this method to the Hamiltonian formulation of FRW cosmological equations. This note presents a generalization of this approach to a variety of cosmologies. A general Schrödinger wave equation has been derived and exact solutions have been worked out for the stiff matter era for some cosmological models. It is argued that these solutions appear to hint at their possible relevance in the early phase of cosmological evolution.

【 授权许可】

Unknown