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arXiv quant-ph/0311145quant-ph
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量子动力学亚晶扩张中测量粒子的消失

Disappearance of the Measurement Paradox in a Metaplectic Extension of Quantum Dynamics

Daniel I. Fivel

摘要:

它表明,薛定谔动力学可以嵌入到一个更大的动力学理论,它的对称群从酉群扩展到全亚群,即组的线性正则变换。在新近被承认的非幺正过程中,有一种与经典测量过程类似的过程,这种过程使人们有可能把波函数作为量子力学系统的客观性质,与经典系统的相空间坐标处于同样的地位。一般来说,只有在被测量时才有价值的“可观测量”的概念可以被抛弃,测量悖论也就消失了。

英文摘要:

It is shown that Schrodinger dynamics can be embedded in a larger dynamical theory which extends its symmetry group from the unitary group to the full metaplectic group, i.e. the group of linear canonical transformations. Among the newly admitted non-unitary processes are analogues of the classical measurement process which makes it possible to treat the wave-function as an objective property of the quantum mechanical system on the same footing as the phase-space coordinates of a classical system. The notion of "observables" that in general have values only when measured can then be dispensed with, and the measurement paradox disappears.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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