Unified Theory of Wave-Particle Duality and the Schrödinger Equations

Details Unified Theory of Wave-Particle Duality and the Schrödinger Equations Unified Theory of Wave-Particle Duality and the Schrödinger Equations

2011-03-10

arxiv.org/abs/1103.1922v7

Physics

General Physics

Scientific paper

Individual quantum objects display coexisting wave properties and particle properties. A wave is ordinarily associated with spatial extension while a particle is ordinarily associated with a point-like locality. Coexistence of spatial extension and a point-like locality as properties of a single entity seems paradoxical. The apparent paradox is resolved by the unified theory of wave-particle duality developed in this paper. Using this theory, a straightforward derivation of the Schr\"odinger equations (time-independent and time-dependent) is presented where previously no such derivation was considered to be possible. Subsequently the Schr\"odinger equations are shown to be Lorentz invariant and to constitute laws of physics.

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