Wave function identity: A new symmetry for 2-electron systems in an electromagnetic field

Stationary-state Schrödinger-Pauli theory is a description of electrons with spin moment in an external electromagnetic field. For 2-electron systems as described by the Hamiltonian symmetrical binding potential, we report new symmetry operation electronic coordinates. The such that it leads to equality transformed wave function function. This referred Wave Function Identity. two-step process: interchange spatial coordinates whilst keeping their moments unchanged, followed inversion. Identity valid for arbitrary structure electron interaction form w(|r-r′|), all bound states, and dimensionality. It proved exact functions satisfy On application permutation fermions identity, shown parity singlet states even triplet odd. As consequence, follows at electron–electron coalescence, state cusp coalescence constraint, node condition. Further, show about points even, properties on parity, together Pauli principle, are then elucidated 2-dimensional ‘artificial atoms’ or semiconductor quantum dots magnetic field first excited 21S 23S states. subsequent conclusions equally special cases which system, both presence absence field, corresponding Schrödinger spinless electrons.