Proper time operator and its uncertainty relation

被引：0
作者：
Yau, Hou Y. [1 ]
机构：
[1] San Francisco State Univ, 1600 Holloway Ave, San Francisco, CA 94132 USA
来源：
JOURNAL OF PHYSICS COMMUNICATIONS | 2021年 / 5卷 / 10期
关键词：
time and space symmetry; uncertainty relation; time operator; vibration in time; bosonic field; Klein-Gordon equation; PAULIS THEOREM; QUANTUM-FIELD; NEUTRINO; DECOHERENCE; VIBRATIONS; ELECTRON; ARRIVAL; SYSTEM;
D O I：
10.1088/2399-6528/ac2941
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 the properties of a zero-spin quantum field. The formulations adopted permit a more symmetrical treatment between time and space in a matter field.
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页数：11
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