The actionangle variables for the massless relativistic string in 1 + 1 dimensions
(1985) In Journal of Mathematical Physics 26(1). p.112123 Abstract
In this paper the Poisson bracket algebra for the open massless relativistic string in the onespaceand onetimedimensional case is considered. In order to characterize the orbit of the system the directrix function, i.e., the orbit of one of the endpoints of the string, is used. It turns out that the Poisson bracket algebra is of a very simple form in terms of the parameters of the directrix function. We use these results to construct actionangle variables for the general motion of the string. The variables are different for different Lorentz frames, with a continuous dependence. The actionangle variables of the centerofmass frame and of the lightcone frames are of particular interest with respect to the simplicity of the... (More)
In this paper the Poisson bracket algebra for the open massless relativistic string in the onespaceand onetimedimensional case is considered. In order to characterize the orbit of the system the directrix function, i.e., the orbit of one of the endpoints of the string, is used. It turns out that the Poisson bracket algebra is of a very simple form in terms of the parameters of the directrix function. We use these results to construct actionangle variables for the general motion of the string. The variables are different for different Lorentz frames, with a continuous dependence. The actionangle variables of the centerofmass frame and of the lightcone frames are of particular interest with respect to the simplicity of the Poincaré generators and the physical interpretation. For the lightcone frame variables the equivalence to a set of indistinguishable oscillators is shown, for which an excitation corresponds to an instantaneous momentum transfer to an endpoint of the string.
(Less)
 author
 Söderberg, B. ^{LU} ; Andersson, Bo ^{LU} and Gustafson, Gösta ^{LU}
 organization
 publishing date
 1985
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of Mathematical Physics
 volume
 26
 issue
 1
 pages
 12 pages
 publisher
 American Institute of Physics
 external identifiers

 scopus:36549100691
 ISSN
 00222488
 DOI
 10.1063/1.526790
 language
 English
 LU publication?
 yes
 id
 6c3bcd20c87647a994d6a0a6e7e99b4e
 date added to LUP
 20161003 19:30:34
 date last changed
 20180529 09:52:56
@article{6c3bcd20c87647a994d6a0a6e7e99b4e, abstract = {<p>In this paper the Poisson bracket algebra for the open massless relativistic string in the onespaceand onetimedimensional case is considered. In order to characterize the orbit of the system the directrix function, i.e., the orbit of one of the endpoints of the string, is used. It turns out that the Poisson bracket algebra is of a very simple form in terms of the parameters of the directrix function. We use these results to construct actionangle variables for the general motion of the string. The variables are different for different Lorentz frames, with a continuous dependence. The actionangle variables of the centerofmass frame and of the lightcone frames are of particular interest with respect to the simplicity of the Poincaré generators and the physical interpretation. For the lightcone frame variables the equivalence to a set of indistinguishable oscillators is shown, for which an excitation corresponds to an instantaneous momentum transfer to an endpoint of the string.</p>}, author = {Söderberg, B. and Andersson, Bo and Gustafson, Gösta}, issn = {00222488}, language = {eng}, number = {1}, pages = {112123}, publisher = {American Institute of Physics}, series = {Journal of Mathematical Physics}, title = {The actionangle variables for the massless relativistic string in 1 + 1 dimensions}, url = {http://dx.doi.org/10.1063/1.526790}, volume = {26}, year = {1985}, }