State three (3) necessary boundary conditions which must be imposed onto the wave function
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State three (3) necessary boundary conditions which must be imposed onto the wave function ?.

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- in which ensembles ,open and closed assemblies are used?How can you connect lagrange undetermined multiplier with the Gibbs thermodynamic potential per system in grand canonical ensemble?Consider the potential barrier problem as illustrated in the figure below. Considering the case where E > V0: (a) find the wave function up to a constant (that is, you don't need to compute the normalization constant) (b) Calculate the reflection coefficient of the wave function. This result is expected classically?Show that the following wave function is normalized. Remember to square it first. Limits of integration go from -infinity to infinity. DO NOT SKIP ANY STEPS IN THE PROCEDURE
- For the quantum harmonic oscillator in one dimension, calculate the second-order energy disturbance and the first-order eigen-state for the perturbative potentials: (in the picture)Please don't provide handwritten solution ..... Determine the normalization constant for the wavefunction for a 3-dimensional box (3 separate infinite 1-dimensional wells) of lengths a (x direction), b (y direction), and c (z direction).what is the difference between a state function and a path function and what are two examples of each?