Quantum Mechanics Answers

Prove that if the operator A^ is Hermitian, its eigenvalues are real.

How will the full wave function Ψ(x, t), which describes the stationary states, change if you change the origin of the potential energy at some value of ΔU?

A free electron in the initial moment was localized in an area with the size l = 10^(-8) cm. Estimate the period for which the width of the wave packet will increase in η = 10² times.

Freely moving non-relativistic particle has a relative uncertainty of the kinetic energy of about 1.6 ∙ 10^(-4). Estimate how much the coordinate uncertainty of such particle is bigger than its de Broglie wavelength.

Estimate the minimum kinetic energy of an electron localized in the area of size l = 0.10 nm.

Estimate the minimum error, which can determine the velocity of electron, proton and the uranium atom, localized in the area with the size of 1 micron.

Compare the pressure of light produced by a perfectly white and perfectly black surface in in equal conditions.