Question

A particle is in motion along a line between x=0 and x=a with zero potential
energy.At points for which x<0 and x>a,the potential energy is infinite.The wave
function for the particle in the nth state is given by
Ψ n = A sin
Find the expression for the normalized wave function.

Answer 1

Answer:

the particle has has infinite potential energy it will never stop

Answer 2

Answer:

The normalised wave function is Ψ = √2/L sin (nπ/L)x

Explanation:

• A particle's energy is quantized. It can only adopt discrete energy values, in other words.
• The lowest energy a particle can have is NOT zero (even at 0 K). This suggests that the particle always has some kinetic energy.
• The likelihood of discovering the particle in a certain position for a particular energy level is correlated with the square of the wave function.
• The probability fluctuates as the particle's energy increases and is influenced by the position in the box you are trying to determine the energy for.
• In classical physics, the likelihood of discovering a particle is independent of energy and constant throughout the box.

Ψ = √2/L sin (nπ/L)x is the normalised wave function.

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