Paul Adrien Maurice Dirac  

Born  Paul Adrien Maurice Dirac 8 August 1902 Bristol, England 
Died  20 October 1984 (aged 82) Tallahassee, Florida, USA 
Nationality  United Kingdom 
Fields  Physics 
Institutions  Cambridge University Florida State University 
Alma mater  University of Bristol Cambridge University 
Doctoral advisor  Ralph Fowler 
Doctoral students  Homi Bhabha Harish Chandra Mehrotra Dennis Sciama Behram Kurşunoğlu John Polkinghorne 
Known for  Dirac equation Dirac comb Dirac delta function Fermi–Dirac statistics Dirac sea Dirac spinor Dirac measure Braket notation Dirac adjoint Dirac large numbers hypothesis Dirac fermion Dirac string Dirac algebra Dirac operator AbrahamLorentzDirac force Dirac bracket Fermi–Dirac integral Negative probability Dirac Picture DiracCoulombBreit Equation 
Notable awards  Nobel Prize in Physics (1933) 
Notes
He is the stepfather of Gabriel Andrew Dirac. 
Paul Adrien Maurice Dirac, OM, FRS (pronounced /dɪˈræk/ diRAK; 8 August 1902 – 20 October 1984) was a British theoretical physicist. Dirac made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics. He held the Lucasian Chair of Mathematics at the University of Cambridge and spent the last fourteen years of his life at Florida State University.
Among other discoveries, he formulated the Dirac equation, which describes the behaviour of fermions and which led to the prediction of the existence of antimatter.
Dirac shared the Nobel Prize in physics for 1933 with Erwin Schrödinger, "for the discovery of new productive forms of atomic theory."^{[1]}
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Paul Dirac was born in Bristol,^{[2]} England and grew up in the Bishopston area of the city. His father, Charles Dirac, was an immigrant from SaintMaurice in the Canton of Valais, Switzerland. His mother was originally from Cornwall and the daughter of a mariner. Paul had an elder brother, Félix, who committed suicide in March 1925, and a younger sister, Béatrice. His early family life appears to have been unhappy due to his father's unusually strict and authoritarian nature. He was educated first at Bishop Road Primary School and then at Merchant Venturers' Technical College (later Cotham School), where his father was a French teacher. The school was an institution attached to the University of Bristol, which emphasized scientific subjects and modern languages. This was an unusual arrangement at a time when secondary education in Britain was still dedicated largely to the classics, and something for which Dirac would later express gratitude.
Dirac studied electrical engineering at the University of Bristol, completing his degree in 1921. He then decided that his true calling lay in the mathematical sciences and, after completing a BA in applied mathematics at Bristol in 1923, he received a grant to conduct research at St John's College, Cambridge, where he would remain for most of his career. At Cambridge, Dirac pursued his interests in the theory of general relativity (an interest he gained earlier as a student in Bristol) and in the nascent field of quantum physics, under the supervision of Ralph Fowler.
Dirac noticed an analogy between the Poisson brackets of classical mechanics and the recently proposed quantization rules in Werner Heisenberg's matrix formulation of quantum mechanics. This observation allowed Dirac to obtain the quantization rules in a novel and more illuminating manner. For this work, published in 1926, he received a Ph.D. from Cambridge.
In 1928, building on Wolfgang Pauli's work on nonrelativistic spin systems, he proposed the Dirac equation as a relativistic equation of motion for the wavefunction of the electron.^{[3]} This work led Dirac to predict the existence of the positron, the electron's antiparticle, which he interpreted in terms of what came to be called the Dirac sea.^{[4]} The positron was observed by Carl Anderson in 1932. Dirac's equation also contributed to explaining the origin of quantum spin as a relativistic phenomenon.
The necessity of fermions i.e. matter being created and destroyed in Enrico Fermi's 1934 theory of beta decay, however, led to a reinterpretation of Dirac's equation as a "classical" field equation for any point particle of spin ħ/2, itself subject to quantization conditions involving anticommutators. Thus reinterpreted as a (quantum) field equation accurately describing quarks and leptons i.e. all elementary matter particles, this Dirac field equation is as central to theoretical physics as the Maxwell, YangMills and Einstein field equations. Dirac is regarded as the founder of quantum electrodynamics, being the first to use that term. He also introduced the idea of vacuum polarization in the early 1930s. This work was key to the development of quantum mechanics by the next generation of theorists, and in particular Schwinger, Feynman, SinItiro Tomonaga and Dyson in their formulation of quantum electrodynamics.
Dirac's Principles of Quantum Mechanics, published in 1930, is a landmark in the history of science. It quickly became one of the standard textbooks on the subject and is still used today. In that book, Dirac incorporated the previous work of Werner Heisenberg on matrix mechanics and of Erwin Schrödinger on wave mechanics into a single mathematical formalism that associates measurable quantities to operators acting on the Hilbert space of vectors that describe the state of a physical system. The book also introduced the delta function. Following his 1939 article,^{[5]} he also included the braket notation in the third edition of his book,^{[6]} thereby contributing to its universal use nowadays.
In 1933, following his 1931 paper on magnetic monopoles, Dirac showed that the existence of a single magnetic monopole in the universe would suffice to explain the observed quantization of electrical charge. In 1975,^{[7]} 1982,^{[8]} and 2009^{[9]}^{[10]}^{[11]} intriguing results suggested the possible detection of magnetic monopoles, but there is, to date, no direct evidence for their existence.
Dirac was the Lucasian Professor of Mathematics at Cambridge from 1932 to 1969. In 1937, he proposed a speculative cosmological model based on the socalled large numbers hypothesis. During World War II, he conducted important theoretical and experimental research on uranium enrichment by gas centrifuge.
Dirac's quantum electrodynamics made predictions that were  more often than not  infinite and therefore unacceptable. A workaround known as renormalization was developed, but Dirac never accepted this. "I must say that I am very dissatisfied with the situation," he said in 1975, "because this socalled 'good theory' does involve neglecting infinities which appear in its equations, neglecting them in an arbitrary way. This is just not sensible mathematics. Sensible mathematics involves neglecting a quantity when it is small — not neglecting it just because it is infinitely great and you do not want it!"^{[12]} His refusal to accept renormalization, resulted in his work on the subject moving increasingly out of the mainstream. After having relocated to Florida in order to be near his elder daughter, Mary, Dirac spent his last fourteen years (of both life and physics research) at the University of Miami in Coral Gables, Florida and Florida State University in Tallahassee, Florida.
Amongst his many students was John Polkinghorne, who recalls that Dirac "was once asked what was his fundamental belief. He strode to a blackboard and wrote that the laws of nature should be expressed in beautiful equations."^{[13]}
Dirac married Eugene Wigner's sister, Margit, in 1937. He adopted Margit's two children, Judith and Gabriel. Paul and Margit Dirac had two children together, both daughters, Mary Elizabeth and Florence Monica.
Margit, known as Manci, visited her brother in 1934 in Princeton from her native Hungary and, while at dinner at the Annex Restaurant (1930s–2006^{[14]}), met the "lonelylooking man at the next table." This account came from a physicist from Korea who met and was influenced by Dirac, Y.S. Kim, who has also written: "It is quite fortunate for the physics community that Manci took good care of our respected Paul A.M. Dirac. Dirac published eleven papers during the period 193946.... Dirac was able to maintain his normal research productivity only because Manci was in charge of everything else."^{[15]}
A reviewer of the 2009 biography writes: "Dirac blamed his [emotional] frailties on his father, a Swiss immigrant who bullied his wife, chivvied his children and insisted Paul spoke only French at home, even though the Diracs lived in Bristol. 'I never knew love or affection when I was a child,' Dirac once said." She also writes that "[t]he problem lay with his genes. Both father and son had autism, to differing degrees. Hence the Nobel winner's reticence, literalmindedness, rigid patterns of behaviour and selfcentredness. [Quoting the biography:] 'Dirac's traits as a person with autism were crucial to his success as a theoretical physicist: his ability to order information about mathematics and physics in a systematic way, his visual imagination, his selfcentredness, his concentration and determination.'"^{[16]}
Dirac was known among his colleagues for his precise and taciturn nature. When Niels Bohr complained that he did not know how to finish a sentence in a scientific article he was writing, Dirac replied, "I was taught at school never to start a sentence without knowing the end of it."^{[17]} He criticized the physicist J. Robert Oppenheimer's interest in poetry: "The aim of science is to make difficult things understandable in a simpler way; the aim of poetry is to state simple things in an incomprehensible way. The two are incompatible."^{[18]}
Dirac himself wrote in his diary during his postgraduate years that he concentrated solely on his research, and only stopped on Sunday, when he took long strolls alone.^{[citation needed]}
An anecdote recounted in a review of the 2009 biography tells of Werner Heisenberg and Dirac sailing on a cruise ship to a conference in Japan in August 1929. "Both still in their twenties, and unmarried, they made an odd couple. Heisenberg was a ladies' man who constantly flirted and danced, while Dirac—'an Edwardian geek', as [biographer] Graham Farmelo puts it—suffered agonies if forced into any kind of socialising or small talk. 'Why do you dance?' Dirac asked his companion. 'When there are nice girls, it is a pleasure,' Heisenberg replied. Dirac pondered this notion, then blurted out: 'But, Heisenberg, how do you know beforehand that the girls are nice?'"^{[16]}
According to a story told in different versions, a friend or student visited Dirac, not knowing of his marriage. Noticing the visitor's surprise at seeing an attractive woman in the house, Dirac said, "This is... this is Wigner's sister". Margit Dirac told both George Gamow and Anton Z. Capri in the 1960s that her husband had actually said, "Allow me to present Wigner's sister, who is now my wife."^{[19]}^{[20]}
Dirac was also noted for his personal modesty. He called the equation for the time evolution of a quantummechanical operator, which he was the first to write down, the "Heisenberg equation of motion". Most physicists speak of FermiDirac statistics for halfintegerspin particles and BoseEinstein statistics for integerspin particles. While lecturing later in life, Dirac always insisted on calling the former "Fermi statistics". He referred to the latter as "Einstein statistics" for reasons, he explained, of "symmetry".^{[citation needed]}
Dirac once said: "God used beautiful mathematics in creating the world."^{[citation needed]} Heisenberg recollects a friendly conversation among young participants at the 1927 Solvay Conference about Einstein and Planck's views on religion. Wolfgang Pauli, Heisenberg and Dirac took part in it. Dirac's contribution was a poignant and clear criticism of the political purpose of religion, which was much appreciated for its lucidity by Bohr when Heisenberg reported it to him later. Among other things, Dirac said:^{[21]}
“  I cannot understand why we idle discussing religion. If we are honest—and scientists have to be—we must admit that religion is a jumble of false assertions, with no basis in reality. The very idea of God is a product of the human imagination. It is quite understandable why primitive people, who were so much more exposed to the overpowering forces of nature than we are today, should have personified these forces in fear and trembling. But nowadays, when we understand so many natural processes, we have no need for such solutions. I can't for the life of me see how the postulate of an Almighty God helps us in any way. What I do see is that this assumption leads to such unproductive questions as why God allows so much misery and injustice, the exploitation of the poor by the rich and all the other horrors He might have prevented. If religion is still being taught, it is by no means because its ideas still convince us, but simply because some of us want to keep the lower classes quiet. Quiet people are much easier to govern than clamorous and dissatisfied ones. They are also much easier to exploit. Religion is a kind of opium that allows a nation to lull itself into wishful dreams and so forget the injustices that are being perpetrated against the people. Hence the close alliance between those two great political forces, the State and the Church. Both need the illusion that a kindly God rewards—in heaven if not on earth—all those who have not risen up against injustice, who have done their duty quietly and uncomplainingly. That is precisely why the honest assertion that God is a mere product of the human imagination is branded as the worst of all mortal sins.  ” 
Heisenberg's view was tolerant. Pauli, raised as a Catholic but soon to leave that church had kept silent after some initial remarks, but when finally he was asked for his opinion, jokingly he said: "Well, I'd say that also our friend Dirac has got a religion and the first commandment of this religion is 'God does not exist and Paul Dirac is his prophet.'" Everybody burst into laughter, including Dirac.^{[21]}
In 1984, Dirac died in Tallahassee, Florida where he is buried.^{[22]}
The DiracHellmann Award at FSU was endowed by Dr Bruce P. Hellmann (Dirac's last doctoral student) in 1997 to reward outstanding work in theoretical physics by FSU researchers. The Paul A.M. Dirac Science Library at FSU is named in his honour.
In 1995, a plaque in his honour bearing the Dirac equation was unveiled at Westminster Abbey in London with a speech from Stephen Hawking.
His childhood home in Bristol is commemorated with a blue plaque and the nearby Dirac Road is named in recognition of his links with the city.
A commemorative garden has been established opposite the railway station in SaintMaurice, Switzerland, the town of origin of his father's family.
Dirac shared the 1933 Nobel Prize for physics with Erwin Schrödinger "for the discovery of new productive forms of atomic theory."^{[1]} Dirac was also awarded the Royal Medal in 1939 and both the Copley Medal and the Max Planck medal in 1952. He was elected a Fellow of the Royal Society in 1930, and of the American Physical Society in 1948.
In 1975, Dirac gave a series of five lectures at the University of New South Wales which were subsequently published as a book, Directions of Physics (Wiley, 1978 – H. Hora and J. Shepanski, eds.). Dirac donated the royalties from this book to the University for the establishment of the Dirac Lecture Series.^{[23]} The Silver Dirac Medal for the Advancement of Theoretical Physics is awarded by the University of New South Wales on the occasion of the Public Dirac Lecture.
Immediately after his death, two organizations of professional physicists established annual awards in Dirac's memory. The Institute of Physics, the United Kingdom's professional body for physicists, awards the Paul Dirac Medal and Prize for "outstanding contributions to theoretical (including mathematical and computational) physics".^{[24]} The first three recipients were Stephen Hawking (1987), John Stewart Bell (1988), and Roger Penrose (1989). The Abdus Salam International Centre for Theoretical Physics (ICTP) awards the Dirac Medal of the ICTP each year on Dirac's birthday (8 August). Also, the Dirac Prize is awarded by the International Centre for Theoretical Physics in his memory. Dirac House in Bristol is the headquarters of Institute of Physics Publishing.
The street on which the National High Magnetic Field Laboratory in Tallahassee, Florida, is located was named Paul Dirac Drive. A second location on the Florida State University campus, the Paul A. M. Dirac Science Library, also bears his name. There is also a road named after him in his home town of Bristol, UK. The BBC named its video codec Dirac in his honour.
Dirac is widely regarded as one of the world's greatest physicists. He was one of the founders of quantum mechanics and quantum electrodynamics.
His early contributions include the modern operator calculus for quantum mechanics, which he called transformation theory, and an early version of the path integral.^{[25]} He formulated a manybody formalism for quantum mechanics which allowed each particle to have its own proper time.
His relativistic wave equation for the electron was the first successful attack on the problem of relativistic quantum mechanics. Dirac founded quantum field theory with his reinterpretation of the Dirac equation as a many body equation, which predicted the existence of antimatter and matter–antimatter annihilation. He was the first to formulate quantum electrodynamics, although he could not calculate arbitrary quantities because the short distance limit requires renormalization.
In an attempt to solve the quantum divergence problem, Dirac gave a classical point particle theory combining advanced and retarded waves to eliminate the classical electron selfenergy. Although these classical methods did not immediately solve the problems in quantum electrodynamics, they did lead John Archibald Wheeler and Richard Feynman to formulate an alternative Green's function description for light, which eventually led to Feynman's point particle formulation of quantum field theory.
Dirac discovered the magnetic monopole solutions, the first topological configuration in physics, and used them to give the modern explanation of charge quantization. He developed constrained quantization in the 1960s, identifying the general quantum rules for arbitrary classical systems.
Dirac's quantumfield analysis of the vibrations of a membrane, in the early 1960s, proved extremely useful to modern practitioners of superstring theory and its closely related successor, MTheory.^{[26]}


Paul Adrien Maurice Dirac (8 August 1902 – 20 October 1984) was a British theoretical physicist and a founder of the field of quantum physics.
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Paul Adrien Maurice Dirac, Order of the Merit (* August 8th, 1902 in Bristol; † October 20th, 1984 in Tallahassee) was an English physicist.
Dirac's father came from the Frenchspeaking part of Switzerland.
Dirac worked out a formulation of quantum mechanics, which includes Erwin Schrödinger's wave mechanics and Werner Heisenberg's matrix mechanics in 1926. In 1928 he found the Dirac equation and he found out that spin in quantum mechanics is an effect of relativity. The Dirac equation allowed Dirac to predict the existence of antimatter, which is the opposite of matter.
In 1933 he won the Nobel Prize for Physics.
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