A quanton is in a situation where its potential energy decreases to the right. As we go to the right, the wavelength of its energy eigen function
A) Increases.
B) Remains the same.
C) Decreases.
D) Is undefined.

Question

Quizplus · Accepted Answer

As the potential energy of a quanton decreases to the right, its kinetic energy increases due to energy conservation. Since the kinetic energy of a particle is inversely related to the square of its wavelength (according to de Broglie's hypothesis, $ \lambda = \frac{h}{p} $, where $ \lambda $ is the wavelength, $ h $ is Planck's constant, and $ p $ is the momentum), an increase in kinetic energy results in a decrease in wavelength. Therefore, as we move to the right where the potential energy decreases, the wavelength of its energy eigenfunction decreases.

A Quanton Is in a Situation Where Its Potential Energy