THE CLASSICAL HARMONIC OSCILLATOR ON GALOIS AND P-ADIC FIELDS
1989 ◽
Vol 04
(09)
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pp. 2211-2233
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Keyword(s):
Starting from a difference equation corresponding to the harmonic oscillator, we discuss various properties of the classical motion (cycles, conserved quantity, boundedness, continuum limit) when the dynamical variables take their values on Galois or p-adic fields. We show that these properties can be applied as a technical tool to calculate the motion on the real numbers. On the other hand, we also give an example where the motions over Galois and p-adic fields have a direct physical interpretation. Some perspectives for quantum field theory and strings are briefly discussed.
Keyword(s):
2012 ◽
Vol 27
(32)
◽
pp. 1250186
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Keyword(s):
2002 ◽
Vol 17
(05)
◽
pp. 303-308
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Keyword(s):
2007 ◽
Vol 22
(13)
◽
pp. 2433-2439
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2008 ◽
Vol 23
(14n15)
◽
pp. 2239-2240
Nonlocal quantum field theory without acausality and nonunitarity at quantum level: Is SUSY the key?
2015 ◽
Vol 30
(15)
◽
pp. 1550103
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Keyword(s):
1994 ◽
Vol 06
(04)
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pp. 597-619
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Keyword(s):