  In order to the expected Planck-scale correction in the physical systems we
have put forwarded a novel modified dispersion relation (MDR). It has a
generalized structure. A specific choice of the function used in the
construction of this MDR, it has Lorentz invariance. A toy model like
relativistic harmonic oscillator has been studied to get the necessary
Planck-scale correction. It has been found that each laves of harmonic
oscillator acquires Planck-scale correction and the result agrees with
negligible deviation with the result obtained for this system for the same
purpose using generalized uncertainty relation (GUP). The relativistic Hydrogen
atom problem has also been studied with this MDR and it is found that like
harmonic oscillator each energy level of the Hydrogen atom too has got
Planck-scale correction.
