PECs and TDMs for ${\text{H}}_2^{+}$. Panels a and b depict the PECs for the ${\text{H}}_2^{+}$. Specifically, panel a illustrates the ground state $1^2{\text{Σg}}_{+}^{}$ along with the ten energetically lowest excited states of ${}^2{\text{Σu}}_{+}^{}$ symmetry, represented by solid lines. In panel b, the PECs for the ground state $1^2{\text{Σg}}_{+}^{}$ and six lowest excited states of ²Π_u symmetry are illustrated by dashed lines. Panels c and d present the corresponding TDMs describing transitions from the ground state $1^2{\text{Σg}}_{+}^{}$ to the excited electronic states with ${}^2{\text{Σu}}_{+}^{}$ and ²Π_u symmetries, respectively, again indicated by solid and dashed lines.