topic If we apply the concept of the de Broglie wave to a photon, then what will happen? in Science Questions and Collaboration
https://communities.acs.org/t5/Science-Questions-and/If-we-apply-the-concept-of-the-de-Broglie-wave-to-a-photon-then/m-p/7714#M257
<HTML><HEAD></HEAD><BODY><P>In 1923, a French physicist Prince Louis de Broglie found the concept of matter wave, according to some book I read.</P><P>He deduced an equation which relates the wave length of the matter wave with its momemtum.</P><P>Let that matter wave length be denoted by L, and let the Planck constant and the momentum be denoted by h and p respectively.</P><P>Then his equation can be written as,</P><P></P><P>L=h/p (1)</P><P></P><P>This is called as the de Broglie wave length of a matter moving with a momentum p.</P><P></P><P>How about if we consider a photon to apply the concept of de Broglie?</P><P>Let the electromagnetic wave length of the photon be L'.</P><P>By definition of electromagnetism, it follows that</P><P></P><P>L'=c/v (2)</P><P></P><P>where the symbol v means the frequency (regard this symbol as Greek letter neu) and c is the light speed.</P><P>The usual textbooks tell us that the momentum p' of a photon having frequency v is given by an equation</P><P></P><P>p'=hv/c (3)</P><P></P><P>Now, let us proceed to calculate the de Broglie wave length L" of this photon.</P><P>The calculation goes as follows.,</P><P></P><P>L"=h/p'=h/(hv/c)=c/v (4)</P><P></P><P>Oh, what a surprise! The equation (2) and the equation (4) coincide, that is, L'=L" !</P><P>The former equation comes from a simple definition of electromagnetism, while the latter comes from the calculation based on the concept of the de Broglie wave.</P><P>I wonder why do they coincide.</P><P>Perhaps almost of the readers of this blog will not be interested in such a tiny finding.</P><P>It may even seems a tautolgical calculation. But for me, it seems to be a thrilling finding.</P><P>I don't have yet understood this completely.</P><P>Thanks for reading, Sirs.</P><P></P><P>A cacophony</P><P>January 20, 2013</P></BODY></HTML>Sun, 20 Jan 2013 13:02:49 GMTMitsuruYamada2013-01-20T13:02:49ZIf we apply the concept of the de Broglie wave to a photon, then what will happen?
https://communities.acs.org/t5/Science-Questions-and/If-we-apply-the-concept-of-the-de-Broglie-wave-to-a-photon-then/m-p/7714#M257
<HTML><HEAD></HEAD><BODY><P>In 1923, a French physicist Prince Louis de Broglie found the concept of matter wave, according to some book I read.</P><P>He deduced an equation which relates the wave length of the matter wave with its momemtum.</P><P>Let that matter wave length be denoted by L, and let the Planck constant and the momentum be denoted by h and p respectively.</P><P>Then his equation can be written as,</P><P></P><P>L=h/p (1)</P><P></P><P>This is called as the de Broglie wave length of a matter moving with a momentum p.</P><P></P><P>How about if we consider a photon to apply the concept of de Broglie?</P><P>Let the electromagnetic wave length of the photon be L'.</P><P>By definition of electromagnetism, it follows that</P><P></P><P>L'=c/v (2)</P><P></P><P>where the symbol v means the frequency (regard this symbol as Greek letter neu) and c is the light speed.</P><P>The usual textbooks tell us that the momentum p' of a photon having frequency v is given by an equation</P><P></P><P>p'=hv/c (3)</P><P></P><P>Now, let us proceed to calculate the de Broglie wave length L" of this photon.</P><P>The calculation goes as follows.,</P><P></P><P>L"=h/p'=h/(hv/c)=c/v (4)</P><P></P><P>Oh, what a surprise! The equation (2) and the equation (4) coincide, that is, L'=L" !</P><P>The former equation comes from a simple definition of electromagnetism, while the latter comes from the calculation based on the concept of the de Broglie wave.</P><P>I wonder why do they coincide.</P><P>Perhaps almost of the readers of this blog will not be interested in such a tiny finding.</P><P>It may even seems a tautolgical calculation. But for me, it seems to be a thrilling finding.</P><P>I don't have yet understood this completely.</P><P>Thanks for reading, Sirs.</P><P></P><P>A cacophony</P><P>January 20, 2013</P></BODY></HTML>Sun, 20 Jan 2013 13:02:49 GMThttps://communities.acs.org/t5/Science-Questions-and/If-we-apply-the-concept-of-the-de-Broglie-wave-to-a-photon-then/m-p/7714#M257MitsuruYamada2013-01-20T13:02:49ZRe: If we apply the concept of the de Broglie wave to a photon, then what will happen?
https://communities.acs.org/t5/Science-Questions-and/If-we-apply-the-concept-of-the-de-Broglie-wave-to-a-photon-then/m-p/7715#M258
<HTML><HEAD></HEAD><BODY><P>Dear all,</P><P>I would like to propose an idea.</P><P>In quantum mechaics, the matter particle like an electron is seen to have dual nature, the one being particle nature, othe other being wave nature.</P><P>In physics, a photon is regarded as one species of elementary particle.</P><P>So a photon is a particle linguistically logically.</P><P>So a photon is a particle and, at the same time, is a wave.</P><P>That particle notion of the photon is a quantum of light.</P><P>Then what is the "wave" with which the above particle notion constitutes the dual nature?</P><P>And what is the equation that conditions the "wave"?</P><P>The "wave" is the original electromagnetic wave?</P><P>The equation the Maxwell's equations?</P><P>Thank you for reading, Sirs.</P><P>Sincerely,</P><P>M.Y.</P><P>February 21, 2013</P></BODY></HTML>Thu, 21 Feb 2013 11:40:26 GMThttps://communities.acs.org/t5/Science-Questions-and/If-we-apply-the-concept-of-the-de-Broglie-wave-to-a-photon-then/m-p/7715#M258MitsuruYamada2013-02-21T11:40:26Z