Published March 16, 2019
| Version v1
Journal article
Open
EXPONENTIALLY DECAYING WAVE FUNCTION AND QUANTIZED ENERGY FOR NANO SPHERICAL PARTICLES AND HYDROGEN LIKE ATOMS
Authors/Creators
- 1. *1University of Hafr AlBatin – Department of Physics – Faculty of Science –Hafr AlBatin, Saudi Arabia 2 King Khalid University –College of Science& Arts, Ahud, Rufeda, Saudi Arabia 3King Khalid University – Department of Physics – College of Science& Arts, DharanAljanoub, Saudi Arabia 4Sudan University of Science & Technology-College of Science-Department of Physics - Khartoum - Sudan & International University of Africa- College of Science-Department of Physics -Khartoum-Sudan 5University of Bahri - College of Applied & Industrial Sciences Department of Physics - Khartoum - Sudan
Description
The solution of radial Schrödinger equation for hydrogen like atoms is complex. One needs simple solution the behavior of nano particle needs also to be described. Nano spherical particles are isolated non interacting particles that obey quantum laws. Thus one expects their behavior to resemble that of particles in a box, or hydrogen like atoms. The spherical nano shape requires using spherical coordinate to solve Schrödinger Equation. The solution found that the wave function is diminishing outside the sphere, which agrees with observations. This solution is simpler than the conventional one, where it is a sum of sine and cosine function.