Quantum Mechanical Reflection and Transmission Coefficients for a Particle through a One-Dimensional Vertical Step Potential
Rohit Gupta1, Tarun Singhal2, Dinesh Verma3
1Mr. Rohit Gupta, Lecturer, Department of Physics (Applied Sciences), Yogananda College of Engineering and Technology, Gurha Brahmana (Patoli), Akhnoor Road, Jammu (J&K, India).
2Dr. Tarun Singhal, Assistant Professor, Department of Applied Sciences, CGC College of Engineering, Landran Mohali, Chandigarh, India.
3Dr. Dinesh Verma, Associate Professor, Department of Mathematics, Yogananda College of Engineering and Technology, Gurha Brahmana (Patoli), Akhnoor Road, Jammu (J&K, India).
Manuscript received on 26 August 2019. | Revised Manuscript received on 08 September 2019. | Manuscript published on 30 September 2019. | PP: 2882-2886 | Volume-8 Issue-11, September 2019. | Retrieval Number: K24240981119/2019©BEIESP | DOI: 10.35940/ijitee.K2424.0981119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we illustrate an application of the Laplace transformation for finding the quantum mechanical Reflection and Transmission coefficients for a particle through a one-dimensional vertical step potential. Quantum mechanics is one of the branches of physics in which the physical problems are solved by algebraic and analytic methods. By applying the Laplace transformation, we can find the quantum mechanical Reflection and Transmission coefficients for a particle through a one-dimensional vertical step potential. Generally, the Laplace transformation has been applied in different areas of science and engineering and makes it easier to solve the problems inengineering applications. It is a mathematical tool which has been put to use for solving the differential equations without finding their general solutions. It has applications in nearly all science and engineering disciplines like analysis of electrical circuits, heat and mass transfer, fluid dynamics, nuclear physics, process controls, quantum mechanical problems, etc.
Keywords: Quantum mechanical Reflection and Transmission coefficients, one-dimensional vertical step potential, Laplace transformation.
Scope of the Article: Mechanical Design