11. The complex probability amplitudes are something of a theoretical construct which cannot be directly observed. 12. Using a wavefunction representation for probability amplitudes , 13. The inner product between two state vectors is a complex number known as a probability amplitude . 14. That change, from probabilities to probability amplitudes , complicates the mathematics without changing the basic approach. 15. The probability amplitudes of } } for the states } } and } } are and respectively. 16. Hence if it isn't forbidden, there is some probability amplitude for it to happen. 17. The remaining two integrals contributing to the probability amplitude determine the electronic spatial and spin selection rules. 18. Unitary matrices have significant importance in quantum mechanics because they preserve norms, and thus, probability amplitudes . 19. The Schr�dinger equation acts on the " entire " probability amplitude , not merely its absolute value. 20. Therefore, P ( A to B ) actually consists of 16 complex numbers, or probability amplitude arrows.
