Quantum mechanics of neutrino oscillations - hand waving for pedestrians.

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Why Hand Waving? All calculations in books describe oscillations in time. But real experiments don't measure time. Hand waving is used to convert the results of a ''gedanken time experiment'' to the result of a real experiment measuring oscillations in space. Right hand waving gives the right answer; wrong hand waving gives the wrong answer. Many papers use wrong handwaving to get wrong answers. This talk explains how to do it right and also answers the following questions: (1) A neutrino which is a mixture of two mass eigenstates is emitted with muon in the decay of a pion at ... continued below

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48 p.

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Lipkin, H. J. December 22, 1998.

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Description

Why Hand Waving? All calculations in books describe oscillations in time. But real experiments don't measure time. Hand waving is used to convert the results of a ''gedanken time experiment'' to the result of a real experiment measuring oscillations in space. Right hand waving gives the right answer; wrong hand waving gives the wrong answer. Many papers use wrong handwaving to get wrong answers. This talk explains how to do it right and also answers the following questions: (1) A neutrino which is a mixture of two mass eigenstates is emitted with muon in the decay of a pion at rest. This is a ''missing mass experiment'' where the muon energy determines the neutrino mass. Why are the two mass states coherent? (2) A neutrino which is a mixture of two mass eigenstates is emitted at time t=0. The two mass eigenstates move with different velocities and arrive at the detector at different times. Why are the two mass states coherent? (3) A neutrino is a mixture of two overlapping wave packets with different masses moving with different velocities. Will the wave packets eventually separate? If yes, when?

Physical Description

48 p.

Notes

INIS; OSTI as DE00011201

Medium: P; Size: 48 pages

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  • Neutrino Oscillation Workshop (NOW '98), Amsterdam (NL), 09/07/1998--09/09/1998

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  • Report No.: ANL-HEP-CP-98-126
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 11201
  • Archival Resource Key: ark:/67531/metadc627603

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • December 22, 1998

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  • June 16, 2015, 7:43 a.m.

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  • April 12, 2017, 7:07 p.m.

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Lipkin, H. J. Quantum mechanics of neutrino oscillations - hand waving for pedestrians., article, December 22, 1998; Illinois. (digital.library.unt.edu/ark:/67531/metadc627603/: accessed November 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.