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An improvement of Schrödinger’s uncertainty relation

Author : Dr Pintu Bhunia

Year : 2025

Publisher : Elsevier B.V.

Source Title : Physics Letters, Section A: General, Atomic and Solid State Physics

Document Type :

Abstract

Quantum uncertainty relations are mathematical inequalities that provide lower bounds on the products of the standard deviations of observables-represented by bounded or unbounded self-adjoint linear operators. In this note, we present an enhanced version of Schrödinger’s uncertainty relation by incorporating the angle between two vectors. Furthermore, we derive multi-observable uncertainty relations, improving upon existing results. In addition, we investigate a sum uncertainty relation, extending the scope of our analysis.