RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass

• Classically q-deformed harmonic oscillators are equivalent to driven oscillators.
• RLC circuit realization of q-deformed harmonic oscillators is derived.
• A mass dependent q-deformed harmonic oscillator is used for this realization.
• The capacitance and natural frequency are modified because of the deformation.
• Energy aspects of the circuit are studied and the effect of deformation is observed.

We consider an RLC circuit type realization of a q-deformed harmonic oscillator. The differential equations of motion characterizing this circuit are derived, and it is shown that the RLC circuit gets modified as a result of the q-deformation. The natural frequency, the capacitance and the external power source are all modified and become q-dependent. The energy aspects of the circuit are also studied and the effects of the deformation are shown.