Schrodinger wave equation for a particle in a one-dimension box is

Options

A. `(delta^(2)Psi)/(deltax^(2))+(2m)/(h)(E+oo)Psi=0`
B. `(delta^(2)Psi)/(deltax^(2))+(8 pi^(2)m)/(h^(2))(E-V)=0`
C. `(delta^(2)Psi)/(deltax^(2))+(2m)/(h)(E-V)Psi=0`
D. `(delta^(2)Psi)/(deltax^(2))+(8 pi^(2)m)/(h^(2))(E-oo)=0`

Explanation

To derive the Schrödinger wave equation for a particle in a one-dimensional box, we can follow these steps:

### Step 1: Understand the Concept of a Particle in a Box
A particle in a one-dimensional box is a fundamental concept in quantum mechanics. It refers to a particle that is confined to move within a certain region of space, typically between two walls, where the potential energy outside this region is considered infinite.

### Step 2: Write the Time-Independent Schrödinger Equation
The time-independent Schrödinger equation for a particle in one dimension is given by:

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