What kind of molecular bond holds H2+ together?

[Kile]

TL;DR

What kind of molecular bond do you think holds this H2+ together? Explain.

The ${H_2^+}$ molecule consists of two hydrogen nuclei and a single electron.What kind of molecular bond do you think holds this molecular together? Explain.

 

[Lord Jestocost]

It's the simplest example of covalent bonding. One has to solve the corresponding Schroedinger equation.
Have a look at: http://farside.ph.utexas.edu/teaching/qmech/Quantum/node129.html