Even though mathematical structure of the Schrödinger equation is sound and elegant, here we show a conceptual mistake in the development of this equation wherein the physical situation has not been correctly modeled in the equation.

The Schrödinger equation models the matter-wave interactions through wavefunction ψand effectively serves as the foundation of QM. De Broglie’s hypothesis of matter waves implied that the dynamic characteristics of a micro particle in motion, can be ascribed to the wave characteristics of the wavelet accompanying the particle. That is because mathematical logic of QM often defies the physical intuition which constitutes the main spirit of Physics.

Matter Waves, Potential Energy, Interaction Energy, Wavefunction, Elec-tron OrbitsĪBSTRACT: Even after nine decades of successful run of the Quantum Mechanics (QM), different viewpoints on foundational problems of Quantum Physics are still being actively debated. Wrong Potential Energy Term in Schrödinger’s Equation for Hydrogen Atom (2006) How to Derive the Schrodinger Equation.