A New Derivation of the Time-Dependent Schr\"odinger Equation from Wave and Matrix Mechanics

Luca Nanni

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arXiv · 1506.03180

A New Derivation of the Time-Dependent Schr\"odinger Equation from Wave and Matrix Mechanics

Luca Nanni

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Abstract

An alternative method is proposed for deriving the time dependent Schroedinger equation from the pictures of wave and matrix mechanics. The derivation is of a mixed classical quantum character, since time is treated as a classical variable, thus avoiding any controversy over its meaning in quantum mechanics. The derivation method proposed in this paper requires no ad hoc assumption and avoids going through a second-order differential equation that can be reduced to the well known time-dependent Schroedinger equation only postulating a complex wavefunction with an exponential time dependence, as did by Schroedinger in its original paper of 1926.

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Luca Nanni. 2015-06-10. A New Derivation of the Time-Dependent Schr\"odinger Equation from Wave and Matrix Mechanics. https://arxiv.org/abs/1506.03180

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