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Modelling of a diatomic molecule as a simple quantum harmonic oscillator. An alternative perspective

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Academic Paper from the year 2021 in the subject Physics - Quantum Physics, grade: 2.00, , language: English, abstract: In this p...

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Beschreibung

Academic Paper from the year 2021 in the subject Physics - Quantum Physics, grade: 2.00, , language: English, abstract: In this paper, a diatomic molecule is modelled as a simple quantum harmonic oscillator. The conventional solution of the Time-Independent Schrödinger equation (TISE) yields the wave function as the product of a Gaussian and Hermite polynomials. It is argued that the limits set for the vanishing of the wave function in the conventional solution are inappropriate for the modelling of a diatomic molecule by such an oscillator; instead, we posit that the wave function vanishes at the limits of the excursions of the mass centres of the atoms from their equilibrium positions. It is shown that the energy eigenstates for the model developed here are given by: E = hv[ 1 + (n pi/4)^2], where the symbols have their usual connotation.

Produktinformationen

Titel:

Modelling of a diatomic molecule as a simple quantum harmonic oscillator. An alternative perspective

Autor:

EAN:

9783346548764

Format:

E-Book (pdf)

Hersteller:

Genre:

Atomphysik, Kernphysik

Veröffentlichung:

01.12.2021

Digitaler Kopierschutz:

frei

Dateigrösse:

0.55 MB

Anzahl Seiten:

18

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