Exact intrinsic half angular momentum from the Schrodinger equation

Autor(es)

Lopez-Castillo, Alejandro

• Tipo de documento: Artigo Científico
• Fonte: THEORETICAL CHEMISTRY ACCOUNTS; v. 139, n. 3 FEB 18 2020.
• Citações Web of Science: 0

Resumo

The presence of (exact) intrinsic half angular moment (IHAM) in the Schrodinger equation has been explicitly shown through the spherical coordinates (r) following a self-adjoint transformation. The special self-adjoint equations (SSAEs) were obtained by this self-adjoint transformation on the usual wavefunction of 1/2, where J is the Jacobian of the spherical coordinates. The first derivative terms of these SSAEs were absent. We considered the Kepler problem as applied to the hydrogen atom as an example. These SSAEs can easily be interpreted in terms of (semi)classical physics, and besides, these equations have exhibited an IHAM even for the ground state, i.e., without any excitation. This IHAM can be considered as a zero-point angular momentum. (AU)

• Processo FAPESP: 19/12501-0 - Estudo teórico de sistemas bidimensionais
• Beneficiário: Alejandro López Castillo
• Modalidade de apoio: Auxílio à Pesquisa - Regular