Ground and Excited States of Quantum Harmonic Oscillator
In this study, we address the challenge of solving the time-independent Schrodinger equation for the quantum harmonic ¨
oscillator, a key concept in quantum physics, by employing two prominent numerical methods: the Shooting method and
the Numerov method. Our investigation focuses on deriving numerical solutions for the oscillator’s energy levels and
wave functions, and then see how these solutions match up with the known analytical results. Through a detailed analysis
including accuracy, computational efficiency, and the ability to accurately represent both ground and excited states, this
paper aims to find the most suitable numerical approach for tackling quantum mechanical problems. By doing this, we
provide insights into how these numerical methods can be used in quantum physics, making our findings useful for those
looking to understand or research in this area.
Keywords: Quantum Harmonic Oscillator, Shooting method,Numerov method,Time-Independent Schrodinger equation
Tools: Python
Department: Department of Mathematics
Project Team Members
| Name |
Email |
|
Ameer Nawaz
|
ameernawaz2020@namal.edu.pk |
|
Hadayat Ullah
|
hadayat2020@namal.edu.pk |
Project Poster
