Magnetic Field in Natural Units: Expressing \hbar

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Discussion Overview

The discussion revolves around expressing the magnetic field in terms of natural units, particularly focusing on the reduced Planck's constant (\hbar) and its implications for unit conversions. The scope includes theoretical considerations and unit analysis related to quantum mechanics and electromagnetism.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant states that in natural units, \hbar is expressed as 1 ML2T-1.
  • Another participant questions the relevance of the topic to quantum physics and seeks clarification on the units of magnetic fields in natural units.
  • A participant expresses confusion regarding the natural unit of magnetic field and its relation to quantum mechanics.
  • One participant suggests looking at the SI units of electric charge to aid in understanding the conversion.
  • Another participant provides the SI unit definition of Tesla and attempts to relate it to natural units.
  • There is a proposal that if \hbar = 1 ML2T-1, then the magnetic field could be expressed as MT-1Q-1.
  • A participant emphasizes that the magnetic field is not a physical constant, indicating variability in its expression.
  • One participant provides a numerical conversion for Tesla in terms of natural units but notes the need for specific definitions to obtain numerical values.
  • Another participant highlights the importance of specifying which natural unit system is being used, such as Planck units, to avoid confusion in unit conversions.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding the conversion of magnetic field units into natural units. There is no consensus on the correct expression or numerical values, and multiple competing views remain regarding the definitions and relationships between units.

Contextual Notes

Participants note limitations in the available information on natural units of magnetic fields and the need for further definitions to clarify unit conversions. The discussion reflects uncertainty about the relationships between different unit systems.

Rajini
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Dear PF members,
In terms of natural units the reduced Planck's constant ([tex]\hbar[/tex]) is 1 ML2T-1. Now in this terminology how a magnetic field can be expressed?
thanks for your reply,
rajini
 
Physics news on Phys.org
what has this to do with quantum physics?

http://en.wikipedia.org/wiki/Natural_units

You are asking what the units of the magnetic field (SI units: Tesla) would have in Natural Units? http://en.wikipedia.org/wiki/Tesla_(unit ) ??
 
Last edited by a moderator:
from wiki i can't find any information on the natural unit of magnetic field!
since h bar is related to QM---i posted here..
rajini
 
but the QUESTION is related to magnetic field and units...

Now why can't you find the units yourself? Have you tried?

Hint: look at wiki article for the different formulations of Tesla.

Hint: What is SI units of Electric Charge? (Q in natural units).
 
still i am confused..
is it 1.9^-18 C..pls. explain..
thanks
 
Tesla = kg/(C*s) {SI units} = Mass/(Charge * Time) = M/(Q*T) {natural units}
 
So if h bar =1 ML^2T^-1; then Magnetic field = (1 or ?) MT^-1Q^-1.
 
Magnetic field is not a physical CONSTANT ...
 
So one Tesla = 5.33178088*1017 M/T
 
  • #10
you forgot the Q...

But I don't think that 1M = 1kg, and 1T = 1second etc... that is not dictated in the WIKI article on natural units.

In order to obtain numerical values, you have to specify WHICH natural unit choice to employ. e.g. Planck units or other-

The table in the wiki article is just giving the Dimensions, not the numerical values, since such assignment needs further definitions.

Example
Using "Rajini" natural units, where 1Q = 1.6E-19C, 1M = 1kg, and 1T = 1second,

1Tesla then equals 6.24E21 [M/(T*Q)]
 

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