An accurate quantum expression of the z -dipole matrix element between nearby Rydberg parabolic states and the correspondence principle

The correspondence principle and quantum

The correspondence principle and quantum dipole matrix element between parabolic Rydberg states

✍ D.P. Dewangan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 70 KB

We derive a quantum formula of the dipole matrix element for parabolic Rydberg states in terms of the Bessel functions without appealing to any quasiclassical methods. We exploit this quantum formula to explain the discrepancy between the other quasi-classical expressions available in the literature