caa a22 4500 469099283 CHVBK 20180323133040.0 cr unu---uuuuu 170328e19920401xx s 000 0 eng 10.1007/BF00420486 doi (NATIONALLICENCE)springer-10.1007/BF00420486 Van Der Jeugt J. Laboratorium voor Numerieke Wiskunde en Informatica, Universiteit Gent, Krijgslaan 281-S9, B9000, Gent, Belgium aut The q -boson operator algebra and q -Hermite polynomials [Elektronische Daten] [J. Van Der Jeugt] The q-boson algebra is defined as an associative algebra with generators and relations. Some examples are given, and then the q-boson algebra is extended such that the roots of the ‘diagonal generators' are also defined. It is shown that a family of transformations exist mapping one set of standard generators of the q-boson algebra to another set of standard generators. Using such a transformation, one obtains expressions for q-bosons for which the kth q-boson state is expressed in terms of a q-Hermite polynomial p k (x; q) which reduces to the ordinary Hermite polynomial of degree k when q=1. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 24/4(1992-04-01), 267-274 0377-9017 24:4<267 1992 24 11005 https://doi.org/10.1007/BF00420486 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00420486 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Van Der Jeugt J. Laboratorium voor Numerieke Wiskunde en Informatica, Universiteit Gent, Krijgslaan 281-S9, B9000, Gent, Belgium aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 24/4(1992-04-01), 267-274 0377-9017 24:4<267 1992 24 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer