State of electron in hydrogen atom

[sharma_satdev]

The term (E-V) which stands for kinetic energy is used in Schrödinger equation.Kinetic energy of electron needs motion and fixed path which leads to the conclusion that electron is moving around the proton in orbits and is not spread out because derivation of Schrödinger equation is based on kinetic energy .Is it correct?

 

[tom.stoer]

No, this is not correct. There are no paths and no orbits in quantum mechanics. The time-independent Schrödinger equation is a PDE which determines the wave function (for stationary states) which can be interpreted as probability density amplitudes.