1. |
A reply to Charles D. Geilker’s “Guest Comment” |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 273-274
Robert C. Hilborn,
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ISSN:0002-9505
DOI:10.1119/1.18865
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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2. |
Scattering by a Coulomb field in two dimensions |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 274-274
Michael J. Moritz,
Harald Friedrich,
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ISSN:0002-9505
DOI:10.1119/1.18866
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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3. |
Question #73.Sis for entropy,Qis for charge |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 275-276
Robert H. Romer,
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PDF (220KB)
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ISSN:0002-9505
DOI:10.1119/1.19038
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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4. |
Answer to Question #4. Is there a physics application that is best analyzed in terms of continued fractions?: Continued fraction compromise in musical acoustics |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 276-277
Richard J. Krantz,
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PDF (233KB)
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ISSN:0002-9505
DOI:10.1119/1.18868
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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5. |
Answer to Question #51. Applications of third-order and fifth-order differential equations |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 277-278
Kirk T. McDonald,
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ISSN:0002-9505
DOI:10.1119/1.18870
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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6. |
Answer to Question #62. When did the indeterminacy principle become the uncertainty principle? |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 278-279
David C. Cassidy,
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PDF (245KB)
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ISSN:0002-9505
DOI:10.1119/1.18872
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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7. |
Answer to Question #62. When did the indeterminacy principle become the uncertainty principle? |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 279-280
Jean-Marc Lévy-Leblond,
Françoise Balibar,
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ISSN:0002-9505
DOI:10.1119/1.18873
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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8. |
Answer to Question #62. When did the indeterminacy principle become the uncertainty principle? |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 280-280
Giovanni Battimelli,
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PDF (120KB)
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ISSN:0002-9505
DOI:10.1119/1.18874
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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9. |
The science wars |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 282-283
Roger G. Newton,
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ISSN:0002-9505
DOI:10.1119/1.19040
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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10. |
Toward an understanding of the spin-statistics theorem |
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American Journal of Physics,
Volume 66,
Issue 4,
1998,
Page 284-303
Ian Duck,
E. C. G. Sudarshan,
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PDF (370KB)
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摘要:
We respond to a recent request from Neuenschwander for an elementary proof of the Spin-Statistics Theorem. First, we present a pedagogical discussion of the results for the spin-0 Klein–Gordon field quantized according to Bose–Einstein statistics; and for the spin-12Dirac field quantized according to Fermi–Dirac statistics and the Pauli Exclusion Principle. This discussion is intended to make our paper accessible to students familiar with the matrix solution of the quantum harmonic oscillator. Next, we discuss a number of candidate intuitive proofs and conclude that none of them pass muster. The reasons for their shortcomings are fully discussed. Then we discuss an argument, originally suggested by Sudarshan, which proves the theorem with a minimal set of requirements. Although we use Lorentz invariance in a specific and limited part of the argument, we do not need the full complexity of relativistic quantum field theory. Motivated by our particular use of Lorentz invariance, if we are permitted to elevate the conclusion of flavor symmetry (which we explain in the text) to the status of a postulate, one could recast our proof without any explicit relativistic assumptions, and thus make it applicable even in the nonrelativistic context. Such an argument, presented in the text, sheds some light on why it is that the ordinary Schrödinger field, considered strictly in the nonrelativistic context, seems to be quantizable with either statistics. Finally, an argument starting with ordinary-number valued (commuting), and with Grassmann-valued (anticommuting), oscillators shows in a natural way that these must relativistically embed into Klein–Gordon spin-0 and Dirac spin-12fields, respectively. In this way, the Spin-Statistics Theorem is understood at the expense of admitting the existence of the simplest Grassmann-valued field.
ISSN:0002-9505
DOI:10.1119/1.18860
出版商:American Association of Physics Teachers
年代:1998
数据来源: AIP
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