The inner product is equal to zero when the wavefunctions of two particles are orthogonal. This happens when the two particles are in different energy states or have different momentum.
Other related questions:
Q: What is inner product in quantum mechanics?
A: In quantum mechanics, the inner product is a way of taking the “dot product” of two quantum states. It is used to calculate the probability of finding a particle in a particular state.
Q: How do you find the inner product of quantum mechanics?
A: There is no one definitive answer to this question, as the inner product in quantum mechanics can be defined in various ways depending on the particular context and interpretation. However, a few common examples of inner products in quantum mechanics include the Hilbert space inner product, the bra-ket inner product, and the Dirac inner product.
Q: What is the inner product of two quantum states?
A: The inner product of two quantum states is the expectation value of the operator that represents the observable quantity associated with those states.
Q: Is every inner product space complete?
A: No, not every inner product space is complete.