Published 2023-07-14
Keywords
- Interference,
- Diffraction,
- Path Integral Formulation
Copyright (c) 2023
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Abstract
Interference and diffraction phenomena are the basic properties shown by waves. De-Broglie concept of matter waves brought in the extended version of wave properties of material particles. Wave properties of quantum particles are important to understand various phenomena in physics. Matter waves are a core part of quantum theory. Now wave-particle duality is exploited for many applications such as imaging microscopic particles using electron microscopes etc. Here we deduce the interference and diffraction of quantum particles on the basis of the propagation amplitude according to the path integral formulation of quantum mechanics. The intensity distribution due to interference and diffraction of quantum particles are compared with those obtained from the formal methods. The results agree with the traditional approach assuming a deBroglie wave associated with particles.
References
- Richard P. Feynman, The Feynman Lectures On Physics - Vol.3: The New Millennium Edition, Pearson India, 2012.
- Shankar R., Principles of Quantum Mechanics, Second Edition, 14th Printing, Springer India, 2014.
- Phillips A.C., Introduction to Quantum Mechanics, John Wiley and Sons Ltd. New York, USA 2003.
- David A.B. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge University Press, New York, USA, 2008.
- Richard P. Feynman and Albert R. Hibbs, Quantum Mechanics and Path Integrals, Dover Publications, INC, Mineola, New York, 2010.
- Kenichi Konishi and Giampiero Paffuti, Quantum Mechanics-A New Introduction, Oxford University Press, 2013.
- Eugene Hecht and A.R Ganesan, Optics, Fifth Edition, Pearson India, 2019.
- Max Born and Emil Wolf, Principles of Optics-Electromagnetic theory of propagation, interference and diffraction of light, Seventh Edition, Cambridge University Press, 1999.
- Francis A. Jenkins and Harvey Elliott White, Fundamentals of Optics, Fourth Edition, McGraw-Hill Companies, Inc. New Delhi, 2001.
- Tipler and Paul, Physics for Scientists and Engineers: Electricity, Magnetism, Light, and Elementary Modern Physics, Fifth Edition, CBS Publishers, 2004.