2010•Physics EssaysOpen access

New reflections on electron’s energy and wave function in the hydrogen atom

Ezzat G. Bakhoum

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Abstract

Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not been attempted in the published literature. This paper provides such an analysis for the first time and uncovers a few interesting facts, including the fact that a "zero-energy wavefunction" is actually a quantized version of the classical wavefunction that has been known for decades.

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Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not been attempted in the published literature. This paper provides such an analysis for the first time and uncovers a few interesting facts, including the fact that a "zero-energy wavefunction" is actually a quantized version of the classical wavefunction that has been known for decades.

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Available abstract

Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not been attempted in the published literature. This paper provides such an analysis for the first time and uncovers a few interesting facts, including the fact that a "zero-energy wavefunction" is actually a quantized version of the classical wavefunction that has been known for decades.

Key concepts: Wave function, Hydrogen atom, Physics, Zero (linguistics), Electron, Schrödinger equation, Atom (system on chip), Quantum mechanics

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