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  • Our previous work on quantum mechanics in Hilbert spaces of finite dimension N is applied to elucidate the deep meaning of Feynman's path integral pointed out by G Svetlichny. He speculated that the secret of the Feynman path integral may lie in the property of mutual unbiasedness of temporally proximal bases. We confirm the corresponding property of the short-time propagator by using a specially devised N x N approximation of quantum mechanics in L-2(R) applied to our finite-dimensional analogue of a free quantum particle.
  • Our previous work on quantum mechanics in Hilbert spaces of finite dimension N is applied to elucidate the deep meaning of Feynman's path integral pointed out by G Svetlichny. He speculated that the secret of the Feynman path integral may lie in the property of mutual unbiasedness of temporally proximal bases. We confirm the corresponding property of the short-time propagator by using a specially devised N x N approximation of quantum mechanics in L-2(R) applied to our finite-dimensional analogue of a free quantum particle. (en)
Title
  • Feynman's path integral and mutually unbiased bases
  • Feynman's path integral and mutually unbiased bases (en)
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  • Feynman's path integral and mutually unbiased bases
  • Feynman's path integral and mutually unbiased bases (en)
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  • RIV/68407700:21340/09:00159256!RIV10-MSM-21340___
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  • P(LC06002), Z(MSM6840770039)
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  • 24
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  • 314888
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  • RIV/68407700:21340/09:00159256
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  • QUANTUM-MECHANICS; SYSTEMS; OPERATOR (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [78C6436ED275]
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  • Journal of Physics A: Mathematical and Theoretical
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  • 42
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  • Chadzitaskos, Goce
  • Tolar, Jiří
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  • 000266457600019
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  • 1751-8113
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  • 21340
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