Since the probability density is the product of the real and complex wavefunction (which is interpreted as the square of a wavefunction), can the probability be negative or non-real?

It can be non-real but not negative

It can be negative but not non-real

It cannot be negative or non-real

It is non-real in some scenarios

Since the probability density is the product of the real and complex wavefunction (which is interpreted as the square of a wavefunction), can the probability be negative or non-real? Correct Answer It cannot be negative or non-real

Probability density must be real and positive. It is mathematically impossible for an existing wavefunction to be imaginary or negative. For examples, if φ = a+ib & φ* = a-ib (if the wavefunction is complex), |φ|2 = a2+b2, which is both real and non-negative. This property must be true for all wavefunctions

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Feb 20, 2025

Physical Chemistry
Schrodinger Equation

Since the probability density is the product of the real and complex wavefunction (which is interpreted as the square of a wavefunction), can the probability be negative or non-real?

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