# The Planck constant of action hA

@article{Bunker2020ThePC, title={The Planck constant of action hA}, author={Philip R. Bunker and Per Jensen}, journal={Journal of Quantitative Spectroscopy \& Radiative Transfer}, year={2020}, volume={243}, pages={106835} }

Abstract We include the dimension of angle in the expression for the value of the Planck constant h. As a result it has the dimensions of action/angle. However, in the equations of quantum mechanics we need the Planck constant to have the dimensions of action. Thus we introduce the Planck constant of action, which we symbolize as hA. The constants h and hA have the same numerical values when h is expressed in J s cycle − 1 and hA in J s.

## 3 Citations

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## References

SHOWING 1-10 OF 13 REFERENCES

The Planck constant and its units

- PhysicsJournal of Quantitative Spectroscopy and Radiative Transfer
- 2019

Abstract We urge spectroscopists to use the units cycle s − 1 or radian s − 1 , with an appropriate prefix such as kilo as needed, when expressing the value of a transition frequency; the hertz (Hz)…

On the Theory of quantum mechanics

- Mathematics
- 1926

The new mechanics of the atom introduced by Heisenberg may be based on the assumption that the variables that describe a dynamical system do not obey the commutative law of multiplication, but…

On the units radian and cycle for the quantity plane angle

- Mathematics
- 2016

This paper is concerned with the names and symbols for quantities used to describe oscillatory motion such as for a harmonic oscillator, and the units to be used for the quantity plane angle and…

Dimensionless units in the SI

- Physics
- 2015

The International System of Units (SI) is supposed to be coherent. That is, when a combination of units is replaced by an equivalent unit, there is no additional numerical factor. Here we consider…

A summary of the Planck constant determinations using the NRC Kibble balance

- Physics
- 2017

We present a summary of the Planck constant determinations using the NRC watt balance, now referred to as the NRC Kibble balance. The summary includes a reanalysis of the four determinations…

Angles are inherently neither length ratios nor dimensionless

- Mathematics, PhysicsMetrologia
- 2019

The status of angles within The International System of Units (SI) has long been a source of controversy and confusion. We address one specific but crucial issue, putting the case that the idea of…

On the status of plane and solid angles in the International System of Units (SI)

- PhysicsMetrologia
- 2019

The article analyzes the arguments that became the basis for declaring in 1995, at the 20th General Conference on Weights and Measures that the plane and solid angles are dimensionless derived…

The quantized Hall effect

- Physics
- 1986

Semiconductor research and the Nobel Prize in physics seem to be contradictory, since one may come to the conclusion that a complicated system like a semiconductor is not useful for very fundamental…

Data and analysis for the CODATA 2017 special fundamental constants adjustment

- Physics
- 2018

The special least-squares adjustment of the values of the fundamental constants, carried out by the Committee on Data for Science and Technology (CODATA) in the summer of 2017, is described in…

Ueber das Gesetz der Energieverteilung im Normalspectrum

- Physics
- 1901

Die neueren Spekfralmessungen von O. Lummer und E. Pringsheim 4) und noch auffalliger diejenigen von H. Rubens und F. Kurlbaum 5), welche zugleich ein frUher von H. Beckmann 1) erhaltenes Resultat…