Symbolic Math Approach To Solve Particle-in-the-Box and H-Atom Problems | Zendy

Todd M. Hamilton | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Symbolic Math Approach To Solve Particle-in-the-Box and H-Atom Problems

Author(s) -

Todd M. Hamilton

Publication year - 2006

Publication title -

journal of chemical education

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.499

H-Index - 84

eISSN - 1938-1328

pISSN - 0021-9584

DOI - 10.1021/ed083p1726.1

Subject(s) - hydrogen atom , wave function , atom (system on chip) , particle in a box , function (biology) , schrödinger equation , expression (computer science) , plot (graphics) , physics , quantum mechanics , mathematics , quantum , algebra over a field , pure mathematics , computer science , group (periodic table) , statistics , evolutionary biology , programming language , biology , embedded system

The Schrodinger equation can be solved exactly for the hydrogen atom. In this assignment, students will solve the equation symbolically using Mathcad's derivatives feature. The result is an expression for the energy levels of the hydrogen atom. Students will also prove that the radial part of the wave function is normalized and explore the concept of an orbital. This exercise is intended for junior-level students who have been introduced to quantum mechanics. Students should be able to solve the particle-in-the-box problem and plot the wave functions for the first several energy levels and have some experience with derivatives and integrals in Mathcad.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research