In this context, the infinite potential barriers refer to the "walls" of the square well. These barriers are very high, meaning that the particle (described by the wave function) cannot exist outside the boundaries of the well.
Because of these infinite potential barriers, the wave function, Ψ, is forced to be zero (meaning no probability of finding the particle) outside of the potential well. In other words, the particle cannot exist beyond the walls of the well.
The statement also provides two boundary conditions for the wave function within the well. It states that Ψ(0,t) = 0 and Ψ(a,t) = 0. These conditions mean that the wave function is zero at both ends of the well, where 0 represents the leftmost boundary and a represents the rightmost boundary of the well.
These boundary conditions ensure that the wave function satisfies the properties of the infinite square well. It helps determine the allowed energy states and the corresponding wave functions within the well.
In summary, the infinite potential barriers confine the particle within the square well, forcing the wave function to be zero outside of the well. The boundary conditions Ψ(0,t) = 0 and Ψ(a,t) = 0 specify that the wave function is zero at both ends of the well. These conditions are necessary to describe the behavior of the particle in the system accurately.
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