when Schrodinger equation is applied to SHO only positive value of potential energy changes it to Hermitian polynomial and hence solution is possible but potential energy is positive only when the particle is moving away from the the mean position.The sign of potential is negative when the particle moving towards the mean position hence Schrodinger equation is not applicable because it will not be changed to Hermitian polynomial with negative potential energy. The above observation shows that application of Schrodingef equation is restricted in nature,the fact which is over looked in text books.The potential energy changes sign with change in the direction of motion is conclusively proved below .T and U are the kinetic energy and potential energy .T+U=CONSTANT. dT=-dU, when motion is away from mean position T decreases hence dT is negative which is possible if U positive U=+1/2kx^2. When motion is towards mean position T increases hence dT is positive which is possible only if U is negative U=-1/2KX^2. Any objection be posted with sound logic(adsbygoogle = window.adsbygoogle || []).push({});

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# Application of Schrodinger equation to SHO

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