Chapter 12, Problem 12.14E

Interpretation Introduction

Interpretation:

The complete Schrödinger equation for $\text{Li}$ is to be stated. The terms in the corresponding operator that makes the equation exactly unsolvable is to be indicated.

Concept introduction:

In quantum mechanics, the wavefunction is given by $\Psi$. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The time-independent Schrödinger equation is represented as,

$\left[-\frac{{\hslash }^2}{2m}\frac{{\partial }^2}{\partial x^2}+\widehat{V}\left(x\right)\right]\Psi =E\Psi$

Where,

• $m$ represents the mass of the particle.

• $x$ represents the coordinate of the particle at the x-axis.

• $\widehat{V}$ represents the potential energy operator.

• $\Psi$ represents the wavefunction.

• $E$ represents the energy of the particle.

• $\hslash$ represents a constant.