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- One of the problems with Bohr's theory to describe the hydrogen atom, was that the electron orbiting around the nucleus has an acceleration. Therefore it radiates and loses energy, until it would collapse with the nucleus. Now Schrödinger describes the electron as a wave function.
physics.stackexchange.com/questions/68381/where-did-schrödinger-solve-the-radiating-problem-of-bohrs-modelWhere did Schrödinger solve the radiating problem of Bohr's ...
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4.10: The Schrödinger Wave Equation for the Hydrogen Atom. Last updated. The hydrogen atom, consisting of an electron and a proton, is a two-particle system, and the internal motion of two particles around their center of mass is equivalent to the motion of a single particle with a reduced mass.
- 12.3: Schrödinger Theory of the Hydrogen Atom - Physics ...
This page titled 12.3: Schrödinger Theory of the Hydrogen...
- 12.3: Schrödinger Theory of the Hydrogen Atom - Physics ...
Sep 17, 2024 · Erwin Schrödinger showed that the quantization of the hydrogen atom’s energy levels that appeared in Niels Bohr’s atomic model could be calculated from the Schrödinger equation, which describes how the wave function of a quantum mechanical system (in this case, a hydrogen atom’s electron) evolves.
Nov 29, 2021 · This page titled 12.3: Schrödinger Theory of the Hydrogen Atom is shared under a CC BY-NC-SA 2.0 license and was authored, remixed, and/or curated by Niels Walet via source content that was edited to the style and standards of the LibreTexts platform.
The Schrödinger equation for the electron in a hydrogen atom (or a hydrogen-like atom) is = where is the electron charge, is the position of the electron relative to the nucleus, = | | is the magnitude of the relative position, the potential term is due to the Coulomb interaction, wherein is the permittivity of free space and = + is the 2-body ...
The Schrödinger wavefunction for the electron in a hydrogen atom may be written: ψ n l (r) Y l m (θ, ϕ), where (r, θ, ϕ) are spherical polar coordinates. (a) Show on Cartesian axes how r, θ and ϕ are defined. (b) Write down the usual symbols for the three quantum numbers of the electron state.
Sep 17, 2024 · Schrödinger applied his equation to the hydrogen atom, for which the potential function, given by classical electrostatics, is proportional to −e 2 /r, where −e is the charge on the electron. The nucleus (a proton of charge e) is situated at the origin, and r is the distance from the origin to the position of the electron.
Aug 13, 2020 · Schrödinger's Equation describes the behavior of the electron (in a hydrogen atom) in three dimensions. It is a mathematical equation that defines the electron’s position, mass, total energy, and potential energy.