Hydrogen Atom
The simplest atomic structure, consisting of one proton and one electron. It is the standard model in quantum mechanics for studying atomic stability and the role of the uncertainty principle.
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The quantum uncertainty principle is one reason the hydrogen atom has a stable finite size (its ground state): electrical attraction tries to pull the electron closer, but quantum confinement causes momentum spreading and enormous kinetic energy, and competition between the two gives the lowest-energy state a finite size.
Zero-point energy is the lowest energy a quantum system still possesses at absolute zero, rooted in Heisenberg's uncertainty principle; the zero-point energy of a simple harmonic oscillator is ½ℏω, and the ground-state energy of the hydrogen atom is -13.6 eV.
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The quantum uncertainty principle is one reason the hydrogen atom has a stable finite size (its ground state): electrical attraction tries to pull the electron closer, but quantum confinement causes momentum spreading and enormous kinetic energy, and competition between the two gives the lowest-energy state a finite size.
50%UnverifiedZero-point energy is the lowest energy a quantum system still possesses at absolute zero, rooted in Heisenberg's uncertainty principle; the zero-point energy of a simple harmonic oscillator is ½ℏω, and the ground-state energy of the hydrogen atom is -13.6 eV.
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