https://doi.org/10.1140/epjp/i2018-12319-0
Regular Article
Energy spectrum of the long-range Lennard-Jones potential
1
The Ruppin Academic Center, 40250, Emeq Hefer, Israel
2
The Hadassah Academic College, 91010, Jerusalem, Israel
* e-mail: shaharhod@gmail.com
Received:
26
July
2018
Accepted:
15
October
2018
Published online:
30
November
2018
The discrete energy spectra of composite inverse power-law binding potentials of the form 
with 
are studied analytically. In particular, using a functional matching procedure for the eigenfunctions of the radial Schrödinger equation, we derive a remarkably compact analytical formula for the discrete spectra of binding energies 
which characterize the highly excited bound-state resonances of these long-range binding potentials. Our results are of practical importance for the physics of polarized molecules, the physics of composite polymers, and also for physical models describing the quantum interactions of bosonic particles.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
