Three-photon transitions from ground state to bound states in atomic hydrogen
Journal of Physics A: Mathematical and General, ISSN: 0305-4470, Vol: 36, Issue: 31, Page: 8473-8478
2003
- 8Citations
- 4Captures
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Article Description
In this paper, we present an efficient alternative method for the evaluation of the three-photon transition matrix element in the dipole approximation from the ground state to bound states in atomic hydrogen. This method is a variation of the Dalgamo-Lewis method for the treatment of the second-order Stark effect in the hydrogen atom. In this approach, the infinite double sum over the complete set of states including the continuum states present in the third-order perturbation theory result is treated exactly. The closed analytical expression obtained for the matrix element, as a function of incident photon energy, clearly displays all singularities present in the original third-order perturbation theory result.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0242360804&origin=inward; http://dx.doi.org/10.1088/0305-4470/36/31/309; https://iopscience.iop.org/article/10.1088/0305-4470/36/31/309; https://dx.doi.org/10.1088/0305-4470/36/31/309; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=ff07af10-5b59-4ecb-9c00-02b6ccfc2f8b&ssb=40561241259&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F36%2F31%2F309&ssi=eed391e1-cnvj-419b-9997-6e82c7827b0c&ssk=botmanager_support@radware.com&ssm=071580593381345744425521299001800271&ssn=42efe8c7fa67070767b118f20f792747a1ab0900c3c4-8990-4f21-af05ab&sso=6522cf8c-bc564dd29deaf68a7319af63eae9d75ff324875ed54f3f90&ssp=13711218031726528979172684365982146&ssq=80199620409061071403129239823367059576087&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBkNzYzNGE3Ni05ZTRkLTRjMmMtYjJhMC1mYzAzNGMyZjE1MjkxNzI2NTI5MjM5NDUzMjc0ODUxMzg4LWZmYzIyMDY0MGUzZjI3MTY0NDI0NDciLCJ1em14IjoiN2Y5MDAwMGMxZDc2YmItMzk2MS00N2VjLTlkZGItNjdmYTVhZTY2ODdlNS0xNzI2NTI5MjM5NDUzMjc0ODUxMzg4LWQ0MGZjMDkxYTczOGNmMmM0NDI0MTQiLCJyZCI6ImlvcC5vcmcifQ==
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