# Paul Adrien Maurice Dirac – The British Physicist

Paul Adrien Maurice Dirac (Bristol, August 8, 1902 – Tallahassee, Florida, October 20, 1984), was a British physicist. After studying electrical engineering in Bristol, he studiBritished theoretical physics at Cambridge. As a post-graduate student, he discovered the laws of quantum mechanics in 1926, in an explanation that was characterized by generality and logical simplicity. Dirac’s scientific discovery is the main quantum relativistic theory of electrons developed by applying the idea of Einstein’s relativity theory to quantum mechanics.

In Dirac’s theory, the electron is described by the four wave functions that are the solutions of the four differential equations (Dirac equations). Each of these states is characterized by the projection of the spin on a single coordinate axis (possible values of 1/2 and -1/2 in the Planck constants) and the sign of energy (Dirac’s electron can have positive or negative energy). Up until then nothing was known about the negative energy electron, Dirac gave an idea of how to explain the negative energy electrons derived from his equations: the lack of electrons in one of the states of negative energy would correspond to a positively charged particle that would have the same mass as an electron. This idea was endorsed by Carl David Anderson, who observed track traces of particles of the same mass, such as electrons, and a positive electric charge. This particle is called an anti-electron or a positron. It is the first revealed antimatter particles. Dirac’s discovery is also important for quantum radiation theory and Fermi-Dirac statistics. In 1933 he received the Nobel Prize for Physics (together with Erwin Schrodinger).

**Antiparticles **

In general, the basic subatomic particles can be divided into force carriers (bosons) and on particles of matter (leptons and quarks). The theory of elemental particles joins each particle and the associated charge-conjugated particle, the so-called antibody. This view was confirmed in 1932 by the discovery of positron, a particle having all electron properties, but unlike it has a positive electric charge. The particle and the associated antibody have the same mass, spin and half-split time, but opposite the electric charge or the magnetic moment, or taste (e, e +, neutron and antineutron). The antibody can be identical to the particle itself, for example in the case of a neutral π-meson (π0), whereas in the case of neutral chaos particles and antiparticles differ in Quark’s taste. Generally, electrically neutral particles may have anti-particles differing from one of several quark loads, or they differ (for example, a neutrino) in the direction of rotation.

Dirac’s delta function is the most commonly used function in real-life, whose value is zero everywhere, except at the coordinate start, where its value is infinite.

The function is defined to satisfy the identity of its integer in the interval:

Delta function is formally defined as a distribution or measure.

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