Quantum Mechanics

The ground state and the first excited state wave functions of a one dimensional infinite potential well are ψ1 and ψ2, respectively. When two spin-up electrons are placed in this potential, which one of the following, with x 1 and x2 denoting the position of the two electrons, correctly represents the space part of the ground state wave function of the system? (A) [ ]) ( ) ( ) ( ) ( 2 1 2 2 2 1 1 2 1 1x x x xψ ψ ψ ψ- (B) [ ]) ( ) ( ) ( ) ( 2 1 1 2 2 1 2 2 1 1x x x xψ ψ ψ ψ+ (C) [ ]) ( ) ( ) ( ) ( 2 1 2 2 2 1 1 2 1 1x x x xψ ψ ψ ψ+ (D) [ ]) ( ) ( ) ( ) ( 2 1 1 2 2 1 2 2 1 1x x x xψ ψ ψ ψ-