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    • https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/05%3A_The_Schrodinger_Equation/5.01%3A_Schrodingers_Equation
      In 1925 Erwin Schrödinger proposed a differential equation that, when solved, produced a complete mathematical description of the wavefunction, ψ(x), of a “particle” moving in a region of space with ...In 1925 Erwin Schrödinger proposed a differential equation that, when solved, produced a complete mathematical description of the wavefunction, ψ(x), of a “particle” moving in a region of space with potential energy function U(x).  Although this equation cannot be “derived” from any other physics principle, it can be shown to at least be consistent with the conservation of energy.

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