PhilSci Archive

The Quantum Mechanical Time Reversal Operator.

Holster, Andrew (2003) The Quantum Mechanical Time Reversal Operator. [Preprint]

[img] Microsoft Word (.doc)
Download (184Kb)

    Abstract

    The analysis of the reversibility of quantum mechanics depends upon the choice of the time reversal operator for quantum mechanical states. The orthodox choice for the time reversal operator on QM states is known as the Wigner operator, T*, where * performs complex conjugation. The peculiarity is that this is not simply the unitary time reversal operation, but an anti-unitary operator, involving complex conjugation in addition to ordinary time reversal. The alternative choice is the Racah operator, which is simply ordinary time reversal, T. Orthodox treatments hold that it is either logically or empirically necessary to adopt the Wigner operator, and the Racah operator has received little attention. The basis for this choice is analysed in detail, and it is concluded that all the conventional arguments for rejecting the Racah operator and adopting the Wigner operator are mistaken. The additional problem of whether the deterministic part of quantum mechanics should be judged to be reversible or not is also considered. The adoption of the Racah operator for time reversal appears prima facie to entail that quantum mechanics is irreversible. However, it is concluded that the real answer to question depends upon the choice of interpretation of the theory. In any case, the conventional reasons for claiming that quantum mechanics is reversible are incorrect.


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

    Item Type: Preprint
    Keywords: Time reversal, quantum mechanics
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: [Nil] [Nil]
    Date Deposited: 21 Oct 2003
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1449
    URI: http://philsci-archive.pitt.edu/id/eprint/1449

    Actions (login required)

    View Item

    Document Downloads