2018/01/05 by Partha Ghose, Ghose, Partha
Computer Science · Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1801.02499
openalex publication_date 2018/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is first shown that when the Schrödinger equation for a wave function is written in the polar form, complete information about the system's \em quantum-ness is separated out in a single term Q, the so called `quantum potential'. An operator method for classical mechanics described by a `classical Schrödinger equation' is then presented, and its similarities and differences with quantum mechanics are pointed out. It is shown how this operator method goes beyond standard classical mechanics in predicting coherent superpositions of classical states but no interference patterns, challenging deeply held notions of classical-ness, quantum-ness and macro realism. It is also shown that measurement of a quantum system with a classical measuring apparatus described by the operator method does not have the measurement problem that is unavoidable when the measuring apparatus is quantum mechanical. The type of decoherence that occurs in such a measurement is contrasted with the conventional decoherence mechanism. The method also provides a more convenient basis to delve deeper into the area of quantum-classical correspondence and information processing than exists at present.