Using quantum mechanics for calculation of different infinite sums
Sign Up to like & getrecommendations! Published in 2022 at "European Journal of Physics"
DOI: 10.1088/1361-6404/ac5bed
Abstract: We demonstrate that a certain class of infinite sums can be calculated analytically starting from a specific quantum mechanical problem and using principles of quantum mechanics. For simplicity we illustrate the method by exploring the… read more here.
Keywords: quantum mechanics; mechanics; physics; infinite sums ... See more keywords
Infinite series involving special functions obtained using simple one-dimensional quantum mechanical problems
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/adbd9b
Abstract: In this paper certain classes of infinite sums involving special functions are evaluated analytically by application of basic quantum mechanical principles to simple models of half harmonic oscillator and a particle trapped inside an infinite… read more here.
Keywords: special functions; quantum mechanical; series; infinite sums ... See more keywords