Dirac equation | Wikipedia audio article - YouTube Subhajit Sahu

This is an audio version of the Wikipedia Article: Dirac equation 00:01:49 1 Mathematical formulation 00:05:48 1.1 Making the Schrödinger equation relativistic 00:13:00 1.2 Dirac's coup 00:15:56 1.3 Covariant form and relativistic invariance 00:20:10 1.4 Conservation of probability current 00:25:32 1.5 Solutions 00:32:08 1.6 Comparison with the Pauli theory 00:35:06 1.7 Comparison with the Weyl theory 00:35:35 1.8 Dirac Lagrangian 00:36:17 2 Physical interpretation 00:46:19 2.1 Identification of observables 00:46:38 2.2 Hole theory 00:47:39 2.3 In quantum field theory 00:47:48 3 Other formulations 00:49:21 3.1 As a differential equation in one real component 00:50:42 3.2 Curved spacetime 00:54:53 3.3 The algebra of physical space 00:55:14 3.4 In polar form 00:55:29 4 See also 00:56:01 4.1 Articles on the Dirac equation 00:56:21 4.2 Other equations 00:56:45 4.3 Other topics 00:57:40 5 References Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. You can find other Wikipedia audio articles too at: https://www.youtube.com/channel/UCuKf... You can upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts "The only true wisdom is in knowing you know nothing." - Socrates SUMMARY ======= In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1/2 massive particles such as electrons and quarks for which parity is a symmetry. It is consistent with both the principles of quantum mechanics and the theory of special relativity, and was the first theory to account fully for special relativity in the context of quantum mechanics. It was validated by accounting for the fine details of the hydrogen spectrum in a completely rigorous way. The equation also implied the existence of a new form of matter, antimatter, previously unsuspected and unobserved and which was experimentally confirmed several years later. It also provided a theoretical justification for the introduction of several component wave functions in Pauli's phenomenological theory of spin; the wave functions in the Dirac theory are vectors of four complex numbers (known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit, in contrast to the Schrödinger equation which described wave functions of only one complex value. Moreover, in the limit of zero mass, the Dirac equation reduces to the Weyl equation. Although Dirac did not at first fully appreciate the importance of his results, the entailed explanation of spin as a consequence of the union of quantum mechanics and relativity—and the eventual discovery of the positron—represents one of the great triumphs of theoretical physics. This accomplishment has been described as fully on a par with the works of Newton, Maxwell, and Einstein before him. In the context of quantum field theory, the Dirac equation is reinterpreted to describe quantum fields corresponding to spin-1/2 particles.

Dirac equation | Wikipedia audio article - YouTube
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