One-dimensional Rindler Harmonic Oscillator, The Generalized Uncertainty Relation

The generalized uncertainty relation and information-entropy are the hot point in the physics field recently. It is well known that General Minkowski vacuum state is seen to be equivalent to a thermal bath for a Rindler uniformly accelerated observer. The coordinate representation also can be exploited in calculations about thermal non-classical states recently, such as coherent state. Based on the correlative theory, this paper calculates one-dimensional Rindler oscillator's generalized uncertainty relation (GUR) in the coordinate representation with use of TFD. The calculation results show that for a Rindler uniformly accelerated observer there are not only general quantum fluctuation but also thermal fluctuation related to acceleration in the nature. At last this paper discusses one-dimensional Rindler oscillator's information-entropy. The relation of its GUR and information-entropy, especially the relation of its thermal fluctuation and information-entropy, are obtained.■END-END Key Words:Rindler space-time,Generalized uncertainty relation (GUR),Information-entropy...