Electrons Are in a Two-Dimensional Square Potential Energy Well with Sides

question 20

Multiple Choice

Electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside.The single-particle energies are given by , , where n_x and n_y are integers.At most the number of electrons that can have energy 8(h²/8mL²) is:

• A)1
• B)2
• C)3
• D)4
• E)any number

---

Definitions:

Exponential Smoothing Model

A time series forecasting method for univariate data that smoothes past observations using an exponential window function.

Double Exponential Smoothing

A forecasting technique that applies two levels of smoothing to capture trends in time series data more accurately than single exponential smoothing.

Slope Significance

The statistical importance of the slope coefficient in a linear regression model, indicating whether the independent variable has a meaningful impact on the dependent variable.

Exponential Smoothing Model

A forecasting technique that applies smoothing constants to weight past observations, giving more importance to recent data.