Lasted edited by Andrew Munsey, updated on June 15, 2016 at 2:06 am.
Along the development of Quantum Mechanics in the 20th Century, there was a dispute Schrodinger versus Heisenberg . The first one did not accept the interpretation that Heisenberg and Bohr proposed for the theory.
According to Heisenberg, a theory had to be developed free of metaphysical concepts. When Schrödinger discovered the zitterbewegung in the Dirac’s equation of the electron, he interpreted it as a physical phenomenon, according to which the electron would be moving with helical trajectory.
According to Wikipedia:
Zitterbewegung (English: "trembling motion", from German) is a theoretical rapid motion of elementary particles, in particular electrons, that obey the Dirac equation. The existence of such motion was first proposed by Erwin Schrödinger in 1930 as a result of his analysis of the wave packet solutions of the Dirac equation for relativistic electrons in free space, in which an interference between positive and negative energy states produces what appears to be a fluctuation (at the speed of light) of the position of an electron around the median, with a circular frequency of 2mc2, or approximately 1.6 × 1021Hz.
But a helical trajectory is a metaphysical concept, and from Heisenberg’s philosophical viewpoint it could not be accepted in Quantum Mechanics.
So, while Schrödinger believed that Physics must be developed by keeping some fundamental physical concepts underlying the phenomena, Heisenberg considered it disagree with the scientific criterion, from which all metaphysical concepts would have to be eliminated from the Physics development, and by this way the Theoretical Physics would have to be developed from mathematical concepts only.
The most physicists followed the Heisenberg’s scientific criterion.
Because the most physicists followed the Heisenberg’s scientific criterion, that’s why the zitterbewegung has been considered as a mathematical abstract concept, with no physical meaning.
According to Quantum Field Theory , the successor of Quantum Mechanics, the zitterbewegung is not acceptable, as stated in two articles of Phys. Rev. Lett:
1- In the top left hand side of page 3 of the article by L. Lamata, J. Le?n, T. Schätz, and E. Solano, Phys. Rev. Lett. 98, 253005 (2007), it’s written:
“its (i.e., the ZB effect’s) existence is even questioned by quantum field theory considerations” -
2- The abstract of another article, by P. Krekora, Q. Su, and R. Grobe, Phys. Rev. Lett. 93, 043004 (2004), contains a statement that:
”we also find that quantum field theory prohibits the occurrence of ZB for an electron”.
The duel Schrödinger versus Heisenberg is not taught in the universities, because the professors try to hide from the students that Schrödinger disagreed with the philosophy of Quantum Mechanics.
The dispute between the two geniuses is described in the book THE MISSED U-TURN, the duel Schrödinger versus Heisenberg, by W. Guglinski.
The Telesio Academy of Science decided to publish the book in 2009, in a partnership with a publishing house of London. But due to the financial crisis of that year, the publishing house had troubles, and the publication was cancelled.
The book THE MISSED U-TURN was published in Brazil in October-2008, but the editor decided to change its title, and so he published it with the title A EVOLUÇÃO DA MECÂNICA QUÂNTICA – o duelo Schrödinger vs Heisenberg (see the link http://www.bodigaya.com.br/f_evolucaomecanica.html )
Now a new experiment shows that Schrödinger wins the duel: the experiment shows that photons have helical trajectory.
The experiment was published in Phys. Rev. Letters in July 2010, under the title “Unveiling a Truncated Optical Lattice Associated with a Triangular Aperture Using Light's Orbital Angular Momentum” ( see the link http://prl.aps.org/abstract/PRL/v105/i5/e053904 ).
So, this new experiment with the light shows that, concerning the zitterbewegung concept, Quantum Field Theory is wrong.
The successor of Quantum Mechanics is not correct, since QFT does not consider the zitterbewegung as a physical helical trajectory of elementary particles.
Along the upcoming years, new experiments will show that electrons have helical trajectory too, in the physical sense as proposed by Schrödinger.
He is the winner of the duel.