Conceptually interesting generalized Heisenberg inequality

1980 ◽  
Vol 48 (9) ◽  
pp. 775-776 ◽  
Author(s):  
Luis de la Peña
Keyword(s):  
Heisenberg Inequality

Heisenberg inequality and the complex field in quantum mechanics

1987 ◽  
Vol 28 (8) ◽  
pp. 1764-1769 ◽  
Author(s):  
Pekka J. Lahti ◽  
Maciej J. Maczynski
Keyword(s):  
Quantum Mechanics ◽  
Complex Field ◽  
Heisenberg Inequality

scholarly journals Uncertainty Principles on Weighted Spheres, Balls, and Simplexes

2016 ◽  
Vol 59 (01) ◽  
pp. 62-72
Author(s):  
Han Feng
Keyword(s):  
Weight Function ◽  
Uncertainty Principle ◽  
Unit Sphere ◽  
Reflection Group ◽  
Beltrami Operator ◽  
Uncertainty Principles ◽  
Finite Reflection Group ◽  
Heisenberg Inequality ◽  
Full Analogy

Abstract This paper studies the uncertainty principle for spherical h-harmonic expansions on the unit sphere of ℝ d associated with a weight function invariant under a general finite reflection group, which is in full analogy with the classical Heisenberg inequality. Our proof is motivated by a new decomposition of the Dunkl–Laplace–Beltrami operator on the weighted sphere.

scholarly journals DUAL SPACE AND HYPERDIMENSION OF COMPACT HYPERGROUPS

2016 ◽  
Vol 59 (2) ◽  
pp. 421-435 ◽  
Author(s):  
MAHMOOD ALAGHMANDAN ◽  
MASSOUD AMINI
Keyword(s):  
Representation Theory ◽  
Finite Groups ◽  
Dual Space ◽  
Conjugacy Classes ◽  
Irreducible Representations ◽  
Compact Groups ◽  
Dual Spaces ◽  
Heisenberg Inequality

AbstractWe characterize dual spaces and compute hyperdimensions of irreducible representations for two classes of compact hypergroups namely conjugacy classes of compact groups and compact hypergroups constructed by joining compact and finite hypergroups. Also, studying the representation theory of finite hypergroups, we highlight some interesting differences and similarities between the representation theories of finite hypergroups and finite groups. Finally, we compute the Heisenberg inequality for compact hypergroups.

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