Question

Which of these are the characteristics of wave function $\Psi$?

• A. $\Psi$ must be single valued
• B. ${\int }_{-\infty }^{+\infty }{\Psi }^{2}dxdydz=1$
• C. $\Psi$ must be finite and continous
• D. $\Psi$ can be discrete

Answer 1

Answer: (A), (B), (C)

$\Psi$ must be single valued
${\int }_{-\infty }^{+\infty }{\Psi }^{2}dxdydz=1$
$\Psi$ must be finite and continous

Wave function $\Psi$ contains all the measurable information about the particles.
${\int }_{-\infty }^{+\infty }{\Psi }^{2}dxdydz=1$ which covers all possibilities.
$\Psi$ must be finite and continuous because the wave function should be able to describe the behaviour of a particle across all potentials, in any region.
$\Psi$ must be single valued. This is a way of guaranteeing that there is only a single value for the probability of the system being in a given state.