KEK Theory Workshop 2022

Bounds on expectation values in Quantum mechanics

8 Dec 2022, 15:00

20m

Online (Zoom)

Parallel session A

Speaker

Prof. Takeshi Morita (Shizuoka University)

Description

The range of motion of a particle with certain energy $E$ confined in a potential is determined from the energy conservation law in classical mechanics. The counterpart of this question in quantum mechanics can be thought of as what the possible range of the expectation values of the position operator $⟨x⟩$ of a particle, which satisfies $E=⟨H⟩$. This range would change depending on the state of the particle, but the universal upper and lower bounds, which is independent of the state, must exist. In this talk, I show that these bounds can be derived by using the uncertainty relations and their generalization.

Presentation materials

KEK-TH2022_Morita.pdf