论文标题
量子宇宙学在最小长度的情况下具有动态真空
Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
论文作者
论文摘要
在这项工作中，我们考虑了在存在与修改后的换向关系$ [\ hat {x}，\ hat {p}]：= \ frac {i \ hbar} {i \ hbar} {1-β\ hat {p}的2.22的2^2 pss中，我们考虑了与修改后的换向关系$ [\ hat {x}，\ frac {i \ hbar} {i \ hbar} {1-β\ hat {p}的影响，在量子宇宙学中的影响（普遍不确定性原理）与修改后的换向关系$ [\ hat {x}，\ hat {p}]：= \ frac {i \ hbar} {1-β\ hat {p}我们确定宇宙$ψ_{qp}（ξ，t）$的波函数，该$是在准位置空间的表示中修改的Wheeler-Dewitt方程的解决方案，在宇宙的比例因子很小的情况下。尽管$ψ_{qp}（ξ，t）$是一种物理上可接受的状态，但它不是可实现的宇宙状态，因为$ψ_{qp}（ξ，t）$具有无限的标准，如普通情况，没有最小的长度。
In this work, we consider effects of the dynamical vacuum in quantum cosmology in presence of a minimum length introduced by the GUP (generalized uncertainty principle) related to the modified commutation relation $[\hat{X},\hat{P}] := \frac{i\hbar}{ 1 - β\hat{P}^2 }$ . We determine the wave function of the Universe $ ψ_{qp}(ξ,t)$, which is solution of the modified Wheeler-DeWitt equation in the representation of the quasi-position space, in the limit where the scale factor of the Universe is small. Although $ψ_{qp}(ξ,t)$ is a physically acceptable state it is not a realizable state of the Universe because $ ψ_{qp}(ξ,t)$ has infinite norm, as in the ordinary case with no minimal length.
