Uncertainty relations for angular momentum
نویسندگان
چکیده
منابع مشابه
Corrected Version Transverse Angular Momentum Relations
As discussed in my Pedagogical lecture: We need expression for the non-forward matrix elements of the energy momentum tensor t . Although t transforms as a tensor under Lorentz transformations, its non-forward matrix elements do not. Erroneously assuming that they do led to the incorrect expression for the angular momentum expectation value for a transversely polarized nucleon: ⟨Ji⟩incorrect = ...
متن کاملLarge-uncertainty intelligent states for angular momentum and angle
The equality in the uncertainty principle for linear momentum and position is obtained for states which also minimize the uncertainty product. However, in the uncertainty relation for angular momentum and angular position both sides of the inequality are state dependent and therefore the intelligent states, which satisfy the equality, do not necessarily give a minimum for the uncertainty produc...
متن کاملMomentum - Angle Commutation Relations and Minimum Uncertainty
We extend the canonical commutation relations (CCR) in quantum mechanics to the case where appropriate dynamical variables are angular momenta and angles. It is found that projection operators of the resultant Weyl algebra provide us with a new and powerful way of characterizing minimum uncertainty states, including those obtained by Carruthers and Nieto. The uniqueness theorem of Schrodinger r...
متن کاملMeasurement Uncertainty Relations for Position and Momentum: Relative Entropy Formulation
Heisenberg’s uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be quantified in various ways. The relative entropy is the natural theoretical quantifier of the information loss when a ‘true’ probability distribution is replace...
متن کاملMinimum uncertainty measurements of angle and angular momentum.
We present an accurate description of the conjugate pair angle-angular momentum in terms of the exponential of the angle instead of the angle itself, which leads to dispersion as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We disc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2015
ISSN: 1367-2630
DOI: 10.1088/1367-2630/17/9/093046