Abstract

An alternative method is proposed for deriving the time-dependent Schrodinger 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 Schrodinger equation only postulating a complex wavefunction with a time dependence given by , as did by Schrodinger in its original paper of 1926 [1]. Keywords: Schrodinger equation, wave–particle duality, Hermitian operators, commutation relations

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