Difference between revisions of "Invariant"
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(Created page with "'''Invariant''' in relation to any physical quantity means that this value is independent of reference frame in which one observes the given quantity. E.g. invariant mass d...") |
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E.g. [[invariant mass]] denoted in physics by <math>m</math> is for a given particle independent of its reference frame in which this particle is observed. This independence is achieved by dividing the [[relativistic mass]] (the measure of [[inertia]] of the particle) by <math>\gamma</math> factor. | E.g. [[invariant mass]] denoted in physics by <math>m</math> is for a given particle independent of its reference frame in which this particle is observed. This independence is achieved by dividing the [[relativistic mass]] (the measure of [[inertia]] of the particle) by <math>\gamma</math> factor. | ||
| − | So if [[velocity]] of a particle is <math>v</math> one gets [[invariant mass]] of the particle by dividing [[relativistic mass]] of the particle <math>M</math> by <math>\gamma</math> factor as in <math>m=M/\gamma</math>, where <math>\gamma^2=1/(1-v^2/c^2)</math>, <math>v</math> is velocity of the observed particle, and <math>c</math> is | + | So if [[velocity]] of a particle is <math>v</math> one gets [[invariant mass]] of the particle by dividing [[relativistic mass]] of the particle <math>M</math> by <math>\gamma</math> factor as in <math>m=M/\gamma</math>, where <math>\gamma^2=1/(1-v^2/c^2)</math>, <math>v</math> is velocity of the observed particle, and <math>c</math> is speed of light in vacuum. |
[[Category: Physics]] | [[Category: Physics]] | ||
Revision as of 15:28, August 17, 2011
Invariant in relation to any physical quantity means that this value is independent of reference frame in which one observes the given quantity.
E.g. invariant mass denoted in physics by 
is for a given particle independent of its reference frame in which this particle is observed. This independence is achieved by dividing the relativistic mass (the measure of inertia of the particle) by 
factor.
So if velocity of a particle is 
one gets invariant mass of the particle by dividing relativistic mass of the particle 
by factor as in 
, where 
, is velocity of the observed particle, and 
is speed of light in vacuum.
