Final answer:
The study outlined three conditions for the wave function in quantum mechanics: continuity without sudden jumps, smoothness except for special cases, and normalizability for probability calculations.
Step-by-step explanation:
The study conducted by Wheeler, Jacobson, Paglieri, and Schwartz (1993) specified three conditions regarding the wave function in quantum mechanics. The first condition stated that the wave function must not have sudden jumps or gaps, ensuring continuity. The second condition required the wave function to be smooth at all points, barring special cases such as potential spikes used to model solids in advanced quantum mechanics. The third condition was that the wave function must be normalizable, based on Born's interpretation of quantum mechanics, allowing for the wave function squared, ψ(x)|², to represent a finite number suitable for probability calculations.