2014/11/30 by Shogo Tanimura, Sh. Tanimura · 1 citation
Computer Science · Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum of light #Angular momentum operator #Measure (data warehouse) #Noncommutative and Quantum Gravity Theories #Operator (biology) #Orbital Angular Momentum in Optics #Position (finance) #Quantum Information and Cryptography #Solid angle #Total angular momentum quantum number #Variable (mathematics) #quant-ph
paper · pdf · doi:10.17586/2220-8054-2015-6-2-205-212
published in Nanosystems Physics Chemistry Mathematics, 205-212 · 9 pages. Proceedings of the workshop, Wave dynamics in low-dimensional branched structures, held during September 23-24, 2014 in Tashkent, Uzbekistan
arxiv created 2015/04/06 · openalex publication_date 2015/04/16 · arxiv updated 2015/07/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The uncertainty relation between angle and orbital angular momentum had not been formulated in a similar form as the uncertainty relation between position and linear momentum because the angle variable is not represented by a quantum mechanical self-adjoint operator. Instead of the angle variable operator, we introduce the complex position operator = x + i and interpret the order parameter = / as a measure of certainty of the angle distribution. We prove the relation between the uncertainty of angular momentum and the angle order parameter. We also prove its generalizations and discuss experimental methods for testing these relations.