Abstract: | Spin-independent alternant systems are analyzed using the alternancy symmetry adapted (ASA ) approach. This approach is based on an explicit construction of ASA operators that either commute (altemant) or anticommute (antialternant) with the particle-hole symmetry operator K?. The method yields an explicit construction and identification of all spin-independent Hamiltonians that describe altemant systems (neutral and/or ionic) as well as an explicit identification of all linear properties characteristic to these systems. It also establishes the connection between the spin-eigenstates and the particle-hole symmetry. |