# A particle is moving in one-dimensional box; Write and solve its Schrodinger’s wave equation and obtain Eigen value and Eigen function.

Answer:

**A Particle trapped in a one dimensional potential box**

**(***Application of time independent Schrodinger wave equation*)

*Application of time independent Schrodinger wave equation*)

If we consider a particle trapped in a one dimensional potential box and moving along x-axis. Let *L* is the width of the box and particle move between the walls of the box.

The potential energy *V* inside the box is 0 while on the walls and outside the wall the box potential energy V is infinite.

The boundary condition is defined as:

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