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- W3200331050 abstract "We study the quantum properties of an oscillator in proper time. This proper time oscillator is a particle model with mass that is on shell. Its internal time can be treated as a self-adjoint operator. The displaced time and displaced time rate of the oscillator obey an uncertainty relation resembling the one between position and momentum, which is different from the usual energy-time uncertainty relation. In addition, we demonstrate that a matter field with proper time oscillators satisfies the Klein-Gordon equation. It has properties of a zero-spin quantum field. The formulations adopted permits a more symmetrical treatment between time and space in a matter field." @default.
- W3200331050 created "2021-09-27" @default.
- W3200331050 creator A5089330314 @default.
- W3200331050 date "2021-10-01" @default.
- W3200331050 modified "2023-09-27" @default.
- W3200331050 title "Proper time operator and its uncertainty relation" @default.
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- W3200331050 doi "https://doi.org/10.1088/2399-6528/ac2941" @default.
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