複選題

11. Consider the quantum system of two identical, spin-1/2 particles moving in a 1D infinite quantum well, in the presence of a uniform magnetic field B. Let x₁ and x₂ denote the two particle positions, szl and s22 the two particle spins in the B direction, E_z = Zeeman energy, and dE = energy spacing between the ground and first excited states of one particle in the well at B = 0. Which of the following statements are correct?【複選題】 
(A) When B is turned off, the ground state of the two-particle system consists of two particles of opposite spins.
(B) When B is turned on, the ground state of the two-particle system consists of two particles of parallel spins, if E_z ＞＞ dE.
(C) At B = 0, the wave function of the two-particle system is of the determinant form
(D) The Pauli exclusion principle implies that the wave function of the two-particle system must al ways vanish if
(E) All of the above are true.