TY - JOUR AU - Karimi, E. AU - Boyd, R.W. AU - Hoz Iglesias, Pablo de la AU - de Guise, H. AU - Řeháček, J. AU - Hradil, Z. AU - Aiello, A. AU - Leuchs, Gerd AU - Sánchez Soto, Luis Lorenzo PY - 2014 DO - 10.1103/PhysRevA.89.063813 SN - 1050-2947 UR - https://hdl.handle.net/20.500.14352/33972 T2 - Physical review A AB - We introduce an operator linked with the radial index in the Laguerre-Gauss modes of a two-dimensional harmonic oscillator in cylindrical coordinates. We discuss ladder operators for this variable, and confirm that they obey the commutation relations... LA - eng PB - American Physical Society KW - Orbital angular-momentum KW - Minimum uncertainty states KW - Electron vortex beams KW - Coherent states KW - Intelligent states KW - SU(1 KW - 1) KW - Vortices KW - Light KW - SU(2) KW - Representations. TI - Radial quantum number of Laguerre-Gauss modes TY - journal article VL - 89 ER -