On the Problem of Eigenschaften in Quantum and Classical Mechanics

Daniel Sepunaru

doi:10.4236/jmp.2018.914152

Abstract

We argue that in contrast to the classical physics, measurements in quantum mechanics should provide simultaneous information about all relevant relative amplitudes (pure states and the transitions between them) and all relevant relative phases. Simultaneity is needed since measurement changes the state of the system (in both quantum and in classical physics). We call that measurement procedure holographic detection. Mathematically, it is described by a set of mutually commuting selfadjoint operators that are similar and closely related to projections. We present explicit examples and discuss general features of the corresponding experimental setup which we identify as the quantum reference frame.

Highlights

Debates about the connection between hidden laws of nature and our ability to extract the information necessary to formulate these laws have a long history, perhaps as long as study of physics itself
We argue that in contrast to the classical physics, measurements in quantum mechanics should provide simultaneous information about all relevant relative amplitudes and all relevant relative phases
Simultaneity is needed since measurement changes the state of the system

Summary

Introduction

Debates about the connection between hidden laws of nature and our ability to extract the information necessary to formulate these laws have a long history, perhaps as long as study of physics itself. Sepunaru quantum physics is the presence of new kinematic quantities—phases—we need to know how to measure the corresponding phase differences We demonstrate that this measurement may be obtained by using a special experimental arrangement that we call quantum reference frames. We complete that task by introducing reference frames such that the location of the detector defines both the frame’s origin and the set of auxiliary macroscopic devices. This allows for establishment of a connection between frames that are separated by a finite space-time interval (comparison of the empirical data obtained must always be performed by the same observer).

The Kinematics of Quantum Mechanical Theory

Sepunaru DOI

Eigenschaften Operators

Holographic Detection