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The Angular Momentum in the Hydrogen Atom

Sangwha Yi

The article treats that the angular momentum in the hydrogen atom. If calculates the electron motion in the hydrogen atom , can do the quantization in the Bohr’s theory about the hydrogen atom. In this time, the electron’s orbit velocity is non-relativity velocity.

Nov 1, 20120 citations

Bohr Model

James W. Rohlf

The Bohr model is historically important in the understanding of quantum physics. It gives many important results for the hydrogen atom including atomic size and ionization energy. It is sometimes referred to as a semi-classical calculation, because it includes the physics of angular momentum quantization without the full quantum mechanical description of an electron wave. It is tremendously useful for gaining physical intuition of the quantum nature of the atom. In the Bohr model of the hydrogen atom, an electron has a circular orbit with speed v and radius r about the proton. The Bohr quantization condition is that an integer number of electron (de Broglie) wavelengths must fit to the atomic circumference.The Bohr model is historically important in the understanding of quantum physics. It gives many important results for the hydrogen atom including atomic size and ionization energy. It is sometimes referred to as a semi-classical calculation, because it includes the physics of angular momentum quantization without the full quantum mechanical description of an electron wave. It is tremendously useful for gaining physical intuition of the quantum nature of the atom. In the Bohr model of the hydrogen atom, an electron has a circular orbit with speed v and radius r about the proton. The Bohr quantization condition is that an integer number of electron (de Broglie) wavelengths must fit to the atomic circumference.

CRC Press eBooksOct 18, 20230 citations

The hydrogen atom as a Morse oscillator

Soo‐Y. Lee

In its radial motion, the electron in the hydrogen atom can be pictured as oscillating about the Bohr orbits under Morse potentials. For each principal quantum number n, there corresponds a Morse oscillator with n bound states—one for each allowed value of the angular momentum quantum number l. The equilibrium positions of the Morse oscillators are exactly the Bohr orbits.

American Journal of PhysicsAug 1, 198510 citations

The Bohr atom

Colm T. Whelan

The semi-classical atomic model of Bohr is derived and applied to the description of the spectra of atomic hydrogen. Atomic units are introduced and some of the characteristics of isotopes and exotic atoms discussed.

Morgan & Claypool Publishers eBooksApr 1, 20180 citations

Revisiting Bohr's quantization hypothesis for the atomic orbitals

Jorge Henrique de Oliveira Sales, Suzuki, A. T., D. S. Bonafe

We deduce the quantization of the atomic orbit for the hydrogen's atom model proposed by Bohr without using his hypothesis of angular momentum quantization. We show that his hypothesis can be deduced from and is a consequence of the Planck's energy quantization.

arXiv:physics/0608102Aug 9, 20060 citations

A Causal Model of the Hydrogen Atom -- New Electron Orbits

P. N. Kaloyerou, M. Chiboli, M. Mukutulu

In this article we develop in detail a causal model of the hydrogen atom, building on the earlier work of Dewdney and Malik [1] in which they outlined a causal model of the hydrogen atom, focusing more on a causal model of angular momentum measurement and of the EPR experiment. We interpret the resulting formulae differently leading to new electron orbits. We develop in detail the relationship between electron orbits, angular momentum and the quantum potential.

arXiv:2508.01431Aug 2, 20250 citations

The Hydrogen Atom: The Bohr Model in Detail

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The Hydrogen Atom: The Bohr Model in Detail

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