Study on the ‘Wave Function Identity’ and Parity of the Singlet and Triplet States of 2-electron system with symmetrical-binding potential

Session I, Virtual Room 2: (Micro)Waves & Biochars

The application of the Pauli Exclusion Principle to the newly discovered Wave Function Identity (the value of wave function stays the same when the spatial coordinates of the electrons are switched and negatized, while the spin coordinates are unchanged) leads to the understanding that the parity of the singlet state is even, whereas that of the triplet state is odd. The result confirms the fact that for the triplet state, the wave function must satisfy the NODE electron-electron coalescent condition at the origin of the coordinate axes (zero probability of two electrons with parallel spins at the same position), and the wave function is a continuous function; whereas for the singlet state, the wave function must satisfy the CUSP electron-electron coalescent condition at the origin, and the wave function there is finite.