Hydrogen Atom Second Solution: Physical and Chemical Interpretations

Author(s)

Flauzino, Edgard ; Lopez-Castillo, Alejandro

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS; v. 62, n. 4, p. 17-pg., 2023-04-03.

Abstract

We mainly study the ground state of the hydrogen atom in terms of the second kind of Legendre functions. We use a special self-adjoint transformation of the Schrodinger equation to obtain a self-adjoint operator and wave functions based on the second kind of Legendre functions without discontinuity. The projection of this wave function in terms of the complete set of the usual hydrogen atom solutions indicates the presence of a continuum. It is possible to infer that the normal hydrogen atom is weakly unstable in the presence of electromagnetic field, matter, or even quantum vacuum fluctuations due to the coupling with the continuum of the second solution. We discuss that the second solution behavior could be responsible for triggering the formation of chemical bonds. We also studied the temporal evolution of the second solution probability density, which shows an intricate structure. (AU)

• FAPESP's process: 19/12501-0 - Theoretical study of bidimensional systems
• Grantee: Alejandro López Castillo
• Support Opportunities: Regular Research Grants