What the old quantum mechanics based on to study electrons?
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The old quantum theory, also known as the Bohr-Sommerfeld model, was based on specific conditions for electron orbits. It focused on quantizing the phase space occupied by electron orbits, allowing for elliptical orbits in addition to circular ones. This theory required that only trajectories with classical action integrals as integer or half-integer multiples of Planck's constant were permissible. Despite its limitations, such as inaccuracies in describing certain systems like H+2, the old quantum theory successfully explained energy levels, orbital angular momenta, and space quantization for one-electron systems like the hydrogen atom. By incorporating concepts like the Coulomb oscillator, it provided valuable insights into wave functions and energies, although devoid of wave character.
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Open access•Posted Content | The old quantum theory studied electrons based on the Bohr-Sommerfeld model, incorporating concepts like orbital angular momenta, space quantization, and the Coulomb oscillator to describe atomic behavior. |
| The old quantum mechanics studies electrons based on their wave-particle duality, described by the Schrödinger equation incorporating quantum interactions through potentials and Hamiltonian operators. | |
14 Nov 2022 | The Old Quantum Theory (OQT) studies electrons based on trajectories with classical action integrals as integer or half-integer multiples of Planck’s constant. |
15 Nov 2022 | The Old Quantum Theory (OQT) studies one-electron diatomic systems based on trajectories with classical action integrals as integer or half-integer multiples of Planck’s constant. |
28 Feb 2023 | The old quantum mechanics, based on Bohr and Sommerfeld's work, studied electrons using quantized circular and elliptical orbits determined by specific conditions in phase space. |
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