Multipole oscillator strength and polarizability for confined hydrogen-like atoms under high pressure

Author:

Mukherjee NeetikORCID,Chakraborty Sudipta,Roy Amlan KORCID

Abstract

Abstract Multipole oscillator strength (f (k)) acts as a foundation in estimating multipole polarizability ( α i ( k ) ) in a quantum system. Moreover, a knowledge of f (k) as well as α i ( k ) under extreme pressure may be treated as the benchmark in high pressure spectroscopy. Further, an investigation of rate of change of these quantities and transition moment integral as a function of confinement radius (R) may offer many hitherto unexplained features. Here, we derive several such relations for confined H-like atom as a test case. In this regard, a virial theorem is utilized. The versatility of these derived relations in the context of atom is also discussed. Apart from that, we report numerically calculated results of α (k), f (k) for a confined H-like atom trapped inside a spherical cavity of radius R. A detailed and systematic analysis of these are undertaken in case of k ranging from 1–4, with special emphasis on 1s, 2s, 2p, 3d states. Their behavior is found to be significantly different from their respective free counterparts.

Funder

BRNS, India

SERB, India

CSIR, New Delhi

Publisher

IOP Publishing

Subject

Condensed Matter Physics,Atomic and Molecular Physics, and Optics

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