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A230844 Decimal expansion of m_p*c in SI units (kg*m/s), where m_p is the proton mass and c is the speed of light in vacuum. 3
5, 0, 1, 4, 3, 9, 3, 9, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

-18,1

COMMENTS

The product m_p*c is also the denominator in the formula of the proton Compton wavelength: W_C = h/(m_p*c), where h is the Planck constant.

It appears that m_p*c is also the main constant in the formula of the relativistic momentum of the proton, if such formula is written as the product of a dimensionless factor and a constant with the same dimensions as the relativistic momentum. For instance, here we write p = [1/(c^2/v^2 - 1)^(1/2)]*m_p*c instead of the standard formula p = [1/(1 - v^2/c^2)^(1/2)]*m_p*v, where v is the speed of the proton. A trigonometric version of the formula is p = tan(x)*m_p*c hence tan(x) = p/(m_p*c) assuming that sin(x) = v/c and 0 < x < Pi/2. Also p = sinh(X)*m_p*c assumnig that sin(x) = tanh(X) = v/c.

Also m_p*c is the main constant in the formula of the relativistic momentum of the proton, if such formula is written as p = [(E^2/E_0^2 - 1)^(1/2)]*m_p*c where E is the relativistic energy and E_0 is the energy at rest.

Also m_p*c is equivalent to the momentum of a photon whose energy is the same as the rest energy of a proton.

Also m_p*c is equivalent to the relativistic momentum of a proton whose velocity is equal to c/sqrt(2). For more information see A229962.

LINKS

Table of n, a(n) for n=-18..-10.

FORMULA

m_p*c = E_0/c = A070059 * A003678 = A230438 / A003678.

EXAMPLE

5.01439393... * 10^-19 kg*m/s.

CROSSREFS

Cf. A003676, A003678, A070059, A229952, A229962, A230438, A230845.

Sequence in context: A334364 A174859 A274619 * A054672 A021670 A060081

Adjacent sequences:  A230841 A230842 A230843 * A230845 A230846 A230847

KEYWORD

nonn,cons

AUTHOR

Omar E. Pol, Nov 30 2013

STATUS

approved

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Last modified January 18 07:00 EST 2022. Contains 350454 sequences. (Running on oeis4.)