The probability density, |ψ (x)|², indicates the likelihood of finding a particle in a. We will establish a set of “rules” for drawing sketches of wave functions. The wave function of a particle, at a particular time, contains all the information but the wave function itself has no physical interpretation.
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The potential is infinity at the walls and zero. Find the normalised wave functions of the stationary states of the particle taking the midpoint of the well as the origin of the x coordinate. According to born, the square of the magnitude of the wave function |ψ|2 evaluated in a particular region represents.
These conditions ensure that the wave function can be used to.
The three conditions for an acceptable wave function are normalization, continuity, and differentiability. For a wave function to be acceptable over a specified interval, it must satisfy the following conditions: In quantum mechanics, a wave function must satisfy certain conditions to be considered acceptable. Probability interpretation of wave function was given by max born in 1926.
My books is asking me to find out if the wavefunctions that are in the exercise are acceptable as state function in a certain interval, like from 0 to $\infty$. In other words, the integral of |ψ|2 over all space must be finite.
