Stability of the Hydrogen and Hydrogen-like Molecules

We present a simple proof of the stability of the hydrogen molecule $(M^{+}{M}^{+}{m}^{-}{m}^{-})$. It does not rely on the proton-to-electron mass ratio $M\mathrm{/}m$ being very large, and actually holds for arbitrary values of $M\mathrm{/}m$. Some asymmetric molecules of the type $(m_1^{+}{m}_2^{+}{m}_3^{-}{m}_4^{-})$ are also stable. Possible applications to molecules containing antiparticles and to exotic hadrons in the quark model are briefly outlined. Revtex Version 3.0, 4 Figures available on request by Fax or Mail.