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sharma_satdev
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is it possible to derive exact values of energies of rigid rotator and SHO without using Schrodinger equation ?Is it possible to derive energy values by using classical mechanics ?
A rigid rotator is a theoretical model that describes the motion of a particle or object that is constrained to rotate around an axis without any external forces acting on it. This means that the object maintains a constant angular velocity and does not experience any changes in its rotational motion.
An SHO, or simple harmonic oscillator, is another theoretical model that describes the motion of a particle or object that is subject to a restoring force that is proportional to its displacement from a fixed point. This results in a periodic motion with a constant amplitude and frequency.
The energy values for a rigid rotator and SHO can be derived using classical mechanics and the principles of conservation of energy. For the rigid rotator, the energy is proportional to the moment of inertia and the square of the rotational velocity. For the SHO, the energy is proportional to the square of the amplitude of oscillation.
The Schrodinger equation is not needed because the energy values can be derived using classical mechanics, which is based on the laws of motion and conservation of energy. The Schrodinger equation is used for quantum mechanical systems, which are not necessary for the rigid rotator and SHO models.
Yes, the energy values for a rigid rotator and SHO can be experimentally verified using various techniques such as spectroscopy, which measures the energy levels of a system by analyzing the wavelengths of emitted or absorbed photons. These experimental results match closely with the theoretical energy values derived using classical mechanics.