PhilSci Archive

Incompatibility of standard completeness and quantum mechanics

Held, Carsten (2012) Incompatibility of standard completeness and quantum mechanics. [Preprint]

[img] Microsoft Word
Incompatibility24b.docx - Accepted Version

Download (85kB)

Abstract

The completeness of quantum mechanics (QM) is generally interpreted to be or entail the following conditional statement (called standard completeness (SC)): If a QM system S is in a pure non-eigenstate of observable A, then S does not have value ak of A at t (where ak is any eigenvalue of A). QM itself can be assumed to contain two elements: (i) a formula generating probabilities; (ii) Hamiltonians that can be time-dependent due to a time-dependent external potential. It is shown that, given (i) and (ii), QM and SC are incompatible. Hence, SC is not the appropriate interpretation of the completeness of QM.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Held, Carstencarsten.held@uni-erfurt.de
Keywords: Quantum mechanics, completeness, trace formula
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Carsten Held
Date Deposited: 06 Apr 2012 12:12
Last Modified: 06 Apr 2012 12:12
Item ID: 9080
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 4 April 2012
URI: https://philsci-archive.pitt.edu/id/eprint/9080

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item