Abstract

The optimum gauge function is determined for an $\text{H}_{2}{}^{+}$ ion in an ultra strong magnetic field by using the Kennedy-Kobe theory [P. K. Kennedy and D. H. Kobe, Phys. Rev. A 30, 51 (1984)] combined with the finite element method. The divergence-free current density obtained by this method vanishes at the positions of protons. From this observation, we put the question as to whether there exists the nuclear cusp condition of current density or not, which is analogous to Kato's cusp condition of electron density. We will show a few cases where the current density vanishes exactly at the maximum of electron density.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.