| dbo:abstract |
In quantum mechanics, a Dirac membrane is a model of a charged membrane introduced by Paul Dirac in 1962. Dirac's original motivation was to explain the mass of the muon as an excitation of the ground state corresponding to an electron. Anticipating the birth of string theory by almost a decade, he was the first to introduce what is now called a type of Nambu–Goto action for membranes. In the Dirac membrane model the repulsive electromagnetic forces on the membrane are balanced by the contracting ones coming from the positive tension. In the case of the spherical membrane, classical equations of motion imply that the balance is met for the radius , where is the classical electron radius. Using Bohr–Sommerfeld quantisation condition for the Hamiltonian of the spherically symmetric membrane, Dirac finds the approximation of the mass corresponding to the first excitation as , where is the mass of the electron, which is about a quarter of the observed muon mass. (en) |
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dbr:Quantum_mechanics dbr:Membrane dbr:Paul_Dirac dbr:Electron dbr:Muon dbr:String_theory dbr:Brane dbc:Quantum_models dbc:Electron dbr:Dirac_bracket dbr:Classical_electron_radius dbr:Nambu–Goto_action |
| dcterms:subject |
dbc:Quantum_models dbc:Electron |
| rdfs:comment |
In quantum mechanics, a Dirac membrane is a model of a charged membrane introduced by Paul Dirac in 1962. Dirac's original motivation was to explain the mass of the muon as an excitation of the ground state corresponding to an electron. Anticipating the birth of string theory by almost a decade, he was the first to introduce what is now called a type of Nambu–Goto action for membranes. (en) |
| rdfs:label |
Dirac membrane (en) |
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wikidata:Dirac membrane https://global.dbpedia.org/id/2NfFr |
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wikipedia-en:Dirac_membrane?oldid=1060647876&ns=0 |
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wikipedia-en:Dirac_membrane |
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dbr:Paul_Dirac |
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dbr:Paul_Dirac dbr:Brane dbr:List_of_things_named_after_Paul_Dirac dbr:Nambu–Goto_action |
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dbr:Paul_Dirac |
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wikipedia-en:Dirac_membrane |