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associated with the electron in the outermost shell the physical interpretation of pauli s degree of freedom was initially unknown ralph kronig one of alfred landé s assistants suggested in early 1925 that it was produced by the self rotation of the electron when pauli heard about the idea he criticized it severely noting that the electron s hypothetical surface would have to be moving faster than the speed of light in order for it to rotate quickly enough to produce the necessary angular momentum this would violate the theory of relativity largely due to pauli s criticism kronig decided not to publish his idea 40 in the autumn of 1925 the same thought came to dutch physicists george uhlenbeck and samuel goudsmit at leiden university under the advice of paul ehrenfest they published their results 41 the young physicists immediately regretted the publication hendrik lorentz and werner heisenberg both pointed out problems with the concept of a spinning electron 42 pauli was especially unconvinced and continued to pursue his two valued degree of freedom this allowed him to formulate the pauli exclusion principle stating that no two electrons can have the same quantum state in the same quantum system fortunately by february 1926 llewellyn thomas managed to resolve a factor of two discrepancy between experimental results for the fine structure in the hydrogen spectrum and calculations based on uhlenbeck and goudsmit s and kronig s unpublished model 2 385 this discrepancy was due to a relativistic effect the difference between the electron s rotating rest frame and the nuclear rest frame the effect is now known as thomas precession 7 thomas result convinced pauli that electron spin was the correct interpretation of his two valued degree of freedom while he continued to insist that the classical rotating charge model is invalid 39 6 in 1927 pauli formalized the theory of spin using the theory of quantum mechanics invented by erwin schrödinger and werner heisenberg he pioneered the use of pauli matrices as a representation of the spin operators and introduced a two component spinor wave function pauli s theory of spin was non relativistic in 1928 paul dirac published his relativistic electron equation using a four component spinor known as a dirac spinor for the electron wave function in 1940 pauli proved the spin statistics theorem which states that fermions have half integer spin and bosons have integer spin 7 in retrospect the first direct experimental evidence of the electron spin was the stern gerlach experiment of 1922 however the correct explanation of this experiment was only given in 1927 43 the original interpretation assumed the two spots observed in the experiment were due to quantized orbital angular momentum however in 1927 ronald g j fraser de showed that sodium atoms are isotropic with no orbital angular momentum and suggested that the observed magnetic properties were due to electron spin 44 in the same year thomas erwin phipps and john bellamy taylor de applied the stern gerlach technique to hydrogen atoms the ground state of hydrogen has zero angular momentum but the measurements again showed two peaks 45 once the quantum theory became established it became clear that the original interpretation could not have been correct the possible values of orbital angular momentum along one axis is always an odd number unlike the observations hydrogen atoms have a single electron with two spin states giving the two spots observed silver atoms have closed shells which do not contribute to the magnetic moment and only the unmatched outer electron s spin responds to the field see also edit chirality physics dynamic nuclear polarization helicity particle physics holstein primakoff transformation kramers theorem pauli equation pauli lubanski pseudovector rarita schwinger equation representation theory of su 2 spin angular momentum of light spin engineering spin flip spin isomers of hydrogen spin orbit interaction spin tensor spintronics spin wave yrast references edit merzbacher eugen 1998 quantum mechanics 3rd ed john wiley sons pp 372 373 isbn 978 0 471 88702 7 1 2 3 4 5 griffiths david 2005 introduction to quantum mechanics 2nd ed eisberg robert resnick robert 1985 quantum physics of atoms molecules solids nuclei and particles 2nd ed wiley pp 272 273 isbn 978 0 471 87373 0 1 2 sebens charles t november 2019 how electrons spin studies in history and philosophy of science part b studies in history and philosophy of modern physics 68 40 50 arxiv 1806 01121 bibcode 2019shpmp 68 40s doi 10 1016 j shpsb 2019 04 007 lincoln don what s the point fermilab today archived from the original on 2023 06 01 retrieved 2023 06 16 1 2 3 giulini domenico september 2008 electron spin or classically non describable two valuedness studies in history and philosophy of science part b studies in history and philosophy of modern physics 39 3 557 578 arxiv 0710 3128 bibcode 2008shpmp 39 557g doi 10 1016 j shpsb 2008 03 005 hdl 11858 00 001m 0000 0013 13c8 1 1 2 3 4 5 fröhlich jürg 2009 spin or actually spin and quantum statistics in duplantier bertrand raimond jean michel rivasseau vincent eds the spin progress in mathematical physics vol 55 basel birkhäuser basel pp 1 60 arxiv 0801 2724 doi 10 1007 978 3 7643 8799 0_1 isbn 978 3 7643 8798 3 leader elliot lorcé cédric august 2014 the angular momentum controversy what s it all about and does it matter physics reports 541 3 163 248 arxiv 1309 4235 bibcode 2014phr 541 163l doi 10 1016 j physrep 2014 02 010 1 2 peskin m e schroeder d v 1995 quantum field theory the advanced book program ch 3 1 2 ohanian hans c 1986 06 01 what is spin pdf american journal of physics 54 6 500 505 bibcode 1986amjph 54 500o doi 10 1119 1 14580 archived pdf from the original on 2024 09 07 retrieved 2023 06 15 bliokh konstantin y punzmann horst xia hua nori franco shats michael 21 january 2022 field theory spin and momentum in water waves science advances 8 3 eabm1295 bibcode 2022scia 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qed the strange theory of light and matter princeton new jersey princeton university press p 115 isbn 978 0 691 08388 9 after some years it was discovered that this value 1 2 g was not exactly 1 but slightly more something like 1 00116 this correction was worked out for the first time in 1948 by schwinger as j j divided by 2 π sic where j is the square root of the fine structure constant and was due to an alternative way the electron can go from place to place instead of going directly from one point to another the electron goes along for a while and suddenly emits a photon then horrors it absorbs its own photon marciano w j sanda a i 1977 exotic decays of the muon and heavy leptons in gauge theories physics letters b67 3 303 305 bibcode 1977phlb 67 303m doi 10 1016 0370 2693 77 90377 x lee benjamin w shrock robert e september 1977 natural suppression of symmetry violation in gauge theories muon and electron lepton number nonconservation physical review d 16 5 1444 1473 bibcode 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nuclear moments american journal of physics 9 6 319 337 bibcode 1941amjph 9 319h doi 10 1119 1 1991712 rabi i i cohen v w april 1933 the nuclear spin of sodium physical review 43 7 582 583 bibcode 1933phrv 43 582r doi 10 1103 physrev 43 582 estermann i july 1946 molecular beam technique reviews of modern physics 18 3 300 323 bibcode 1946rvmp 18 300e doi 10 1103 revmodphys 18 300 perkins donald h 2008 introduction to high energy physics 4 aufl 8 print ed cambridge cambridge univ press isbn 978 0 521 62196 0 datta s das b 1990 electronic analog of the electrooptic modulator applied physics letters 56 7 665 667 bibcode 1990apphl 56 665d doi 10 1063 1 102730 assadi m h n hanaor d a h 2013 theoretical study on copper s energetics and magnetism in tio 2 polymorphs journal of applied physics 113 23 233913 233913 5 arxiv 1304 1854 bibcode 2013jap 113w3913a doi 10 1063 1 4811539 whittaker edmund t 1989 a history of the theories of aether electricity 2 the modern theories 1900 1926 repr ed new york dover publ isbn 978 0 486 26126 3 1 2 wolfgang pauli december 13 1946 exclusion principle and quantum mechanics nobel lecture nobel prize pais abraham 1991 niels bohr s times oxford clarendon press pp 244 isbn 978 0 19 852049 8 uhlenbeck g g goudsmit s november 1925 ersetzung der hypothese vom unmechanischen zwang durch eine forderung bezüglich des inneren verhaltens jedes einzelnen elektrons replacement of the hypothesis of unmechanical constraint with a requirement regarding the internal behavior of each individual electron die naturwissenschaften in german 13 47 953 954 doi 10 1007 bf01558878 pais abraham december 1989 george uhlenbeck and the discovery of electron spin physics today 42 12 00000199d450d7e8a5bddcd144150000 34 40 bibcode 1989pht 42l 34p doi 10 1063 1 881186 b friedrich d herschbach 2003 stern and gerlach how a bad cigar helped reorient atomic physics physics today 56 12 53 bibcode 2003pht 56l 53f doi 10 1063 1 1650229 fraser ronald g j march 1927 the effective cross section of the oriented hydrogen atom proceedings of the royal society of london series a containing papers of a mathematical and physical character 114 767 212 221 bibcode 1927rspsa 114 212f doi 10 1098 rspa 1927 0036 resnick r eisberg r 1985 quantum physics of atoms molecules solids nuclei and particles 2nd ed john wiley sons p 274 isbn 978 0 471 87373 0 further reading edit cohen tannoudji claude diu bernard laloë franck 2006 quantum mechanics 2 volume set ed john wiley sons isbn 978 0 471 56952 7 condon e u shortley g h 1935 especially chapter 3 the theory of atomic spectra cambridge university press isbn 978 0 521 09209 8 cite book isbn date incompatibility help hipple j a sommer h thomas h a 15 december 1949 a precise method of determining the faraday by magnetic resonance physical review 76 12 1877 1878 bibcode 1949phrv 76 1877h doi 10 1103 physrev 76 1877 2 edmonds a r 1957 angular momentum in quantum mechanics princeton university press isbn 978 0 691 07912 7 cite book isbn date incompatibility help jackson john david 1998 classical electrodynamics 3rd ed john wiley sons isbn 978 0 471 30932 1 leader elliot 2023 spin in particle physics doi 10 1017 9781009402040 isbn 978 1 009 40204 0 serway raymond a jewett john w 2004 physics for scientists and engineers 6th ed brooks cole isbn 978 0 534 40842 8 thompson william j 1994 angular momentum an illustrated guide to rotational symmetries for physical systems wiley isbn 978 0 471 55264 2 tipler paul 2004 physics for scientists and engineers mechanics oscillations and waves thermodynamics 5th ed w h freeman isbn 978 0 7167 0809 4 external links edit wikimedia commons has media related to spin intrinsic angular momentum quotations related to spin physics at wikiquote goudsmit on the discovery of electron spin archived 2025 05 28 at the wayback machine nature milestones in spin since 1896 archived 2023 07 09 at the wayback machine ece 495n lecture 36 spin archived 2016 08 01 at the wayback machine online lecture by s datta v t e operators in physics general space and time d alembertian parity time particles c symmetry operators for operators anti symmetric operator ladder operator quantum fundamental momentum position rotation energy total energy hamiltonian kinetic energy angular momentum total orbital spin electromagnetism transition dipole moment optics displacement hanbury brown and twiss effect out of time ordered correlator squeeze particle physics casimir invariant creation and annihilation v t e quantum mechanics background introduction history timeline classical mechanics old quantum theory glossary fundamentals born rule bra ket notation complementarity density matrix energy level ground state excited state degenerate levels zero point energy entanglement hamiltonian interference decoherence measurement nonlocality quantum state quantum jump superposition tunnelling scattering theory symmetry in quantum mechanics uncertainty wave function collapse wave particle duality universal wave function formula...
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