**Think we are in a laboratory class room.**

**Think we are given a flask filled with hydrogen gas at room temperature and atmospheric pressure.**

**The hydrogen gas comprises N hydrogen atoms, i'th proton's space coordinate being denoted by Xi, and i'th electron by xi.**

**Which do you think right?**

**a. The gas is described by simple superposition of respective atomic hydrogen wave function.**

** That is, ENTIRE WAVE FUNCTION=PSY(X1,x1)timesPSY(X2,x2)timesPSY(X3,x3)....timesPSY(XN,xN)**

** That is, the states of each hydrogen atom are essentially independent with each other!**

**Or,**

**b. The gas is described by a intricate function that involves whole particle space variables simultaneously.**

** That is, ENTIRE WAVE FUNCTION=PSY(X1,X2,X3,..,XN,x1,x2,x3,...,xN, t) (t is time variable)**

**That is, the state of the whole gas is dependent on all of its constituent particle space variables and time variable**.

**How do you think?**

Waiting your answers,

ComplexPotential

December 1, 2011

I would choose the latter. The wave function of the entire system depends on the positions of all the hydrogen molecules. If you were to simply sum up the inidividual wave functions you would essentially be ignoring the coulombic interactions between molecules.