Schrodinger's wave equation derivation

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The main concepts given by this equation are given below: But, credit goes to Schrödinger who developed an equation that clarifies all our confusions. The wave-like behavior of microscopic particles is far beyond the reach of our senses. The Schrodinger wave equation is an equation, which expresses energy in the form of the wave function (ψ) in different physical conditions. This equation is not a simple algebraic equation, but in general, a linear partial differential equation, describing the time-evolution of a system’s wave function. In quantum mechanics, as every Newtonian variable has an alternative, the analog of Newton’s law of motion is Schrodinger’s wave energy equation. This equation is known as the Schrodinger wave equation. Schrodinger described how the quantum state of a physical system changes with time in terms of partial differential equations. This was a new idea of that time that gave rise to the development of wave mechanics to tackle the problems in both atomic and molecular physics and chemistry. He thought that the electrons have standing waves just like waves of a stretched string.

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In 1926, Austrian physicist Erwin Rudolph Joseph Alexander Schrödinger presented a mathematical concept of wave-particle dualism.

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