The Transformation Properties of World Lines in Relativistic Quantum Mechanical Hamiltonian Models

James A. Lock

doi:10.1007/BF00731687

The Transformation Properties of World Lines in Relativistic Quantum Mechanical Hamiltonian Models

Research output: Contribution to journal › Article › peer-review

Abstract

The supposition of the manifest covariance of average trajectory world lines is violated in Hamiltonian formulations of relativistic quantum mechanics. This is due to the nonlinear appearance of particle dynamical variable operators in the Heisenberg picture boosted position, velocity, and momentum operators. The magnitude of this deviation from world line manifest covariance is found to be exceedingly small for a number of common time of flight experiments.

Original language	American English
Journal	Foundations of Physics
Volume	12
DOIs	https://doi.org/10.1007/BF00731687
State	Published - Aug 1 1982

Disciplines

Quantum Physics

Access to Document

10.1007/BF00731687License: CC BY

Cite this

@article{580ad4a8b2704c36b60707ff804a274c,

title = "The Transformation Properties of World Lines in Relativistic Quantum Mechanical Hamiltonian Models",

abstract = " The supposition of the manifest covariance of average trajectory world lines is violated in Hamiltonian formulations of relativistic quantum mechanics. This is due to the nonlinear appearance of particle dynamical variable operators in the Heisenberg picture boosted position, velocity, and momentum operators. The magnitude of this deviation from world line manifest covariance is found to be exceedingly small for a number of common time of flight experiments.",

author = "Lock, \{James A.\}",

note = "Lock, J. A. (1982). The transformation properties of world lines in relativistic quantum mechanical Hamiltonian models. Foundations of Physics, 12(8), 743 - 757.",

year = "1982",

month = aug,

day = "1",

doi = "10.1007/BF00731687",

language = "American English",

volume = "12",

journal = "Foundations of Physics",

}

TY - JOUR

T1 - The Transformation Properties of World Lines in Relativistic Quantum Mechanical Hamiltonian Models

AU - Lock, James A.

N1 - Lock, J. A. (1982). The transformation properties of world lines in relativistic quantum mechanical Hamiltonian models. Foundations of Physics, 12(8), 743 - 757.

PY - 1982/8/1

Y1 - 1982/8/1

N2 - The supposition of the manifest covariance of average trajectory world lines is violated in Hamiltonian formulations of relativistic quantum mechanics. This is due to the nonlinear appearance of particle dynamical variable operators in the Heisenberg picture boosted position, velocity, and momentum operators. The magnitude of this deviation from world line manifest covariance is found to be exceedingly small for a number of common time of flight experiments.

AB - The supposition of the manifest covariance of average trajectory world lines is violated in Hamiltonian formulations of relativistic quantum mechanics. This is due to the nonlinear appearance of particle dynamical variable operators in the Heisenberg picture boosted position, velocity, and momentum operators. The magnitude of this deviation from world line manifest covariance is found to be exceedingly small for a number of common time of flight experiments.

UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/154

UR - http://journals.ohiolink.edu/ejc/article.cgi?issn=00159018issue=v12i0008article=743_ttpowlirqmhm

U2 - 10.1007/BF00731687

DO - 10.1007/BF00731687

M3 - Article

VL - 12

JO - Foundations of Physics

JF - Foundations of Physics

ER -

The Transformation Properties of World Lines in Relativistic Quantum Mechanical Hamiltonian Models

Abstract

Disciplines

Access to Document

Other files and links

Cite this