## Probability Distribution Function of the Particle Number in a System with Concurrent Existence of Temperature T and Potential Φ

**Authors:** Xianzhao Zhong

In a system, coupling between the large number of charged particles
will induce potential Φ. When temperature T and potential Φ concurrently
exist in the system, the particle potential energy and kinetic energy would
satisfy the probabilistic statistical distribution. Based on such consideration,
we established the quantum statistical distribution for the particle. When
temperature T → 0, and the potential is extremely low, all the particles in
the system would approach the ground-state-level distribution.

**Comments:** 7 pages.

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### Submission history

[v1] 19 Mar 2011

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