Eigen Energy Values and Eigen Functions of a Particle in an Infinite Square Well Potential by Laplace Transforms
Rohit Gupta1, Rahul Gupta2, Dinesh Verma3
1Rohit Gupta, Lecturer, Department of Physics, Yogananda College of Engineering and Technology, YCET (Jammu), India.
2Rahul Gupta, Lecturer, Department of Physics, Yogananda College of Engineering and Technology, YCET (Jammu), India.
3Dr. Dinesh Verma, Associate Professor, Department of Mathematics, Yogananda College of Engineering and Technology, YCET (Jammu), India.
Manuscript received on 05 January 2019 | Revised Manuscript received on 13 January 2019 | Manuscript published on 30 January 2019 | PP: 6-9 | Volume-8 Issue-3, January 2019 | Retrieval Number: C2558018319/19©BEIESP
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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: Quantum mechanics is one of the branches of physics and is a fundamental theory which explains the nature of atoms and subatomic particles at the smallest scale of energy. In this mechanics, physical problems are solved by algebraic and analytic methods. By applying Laplace Transforms we can find the general solutions of one dimensional Schrodinger’s time-independent wave equation for a particle in an infinite square well potential. In this paper, we will discuss the Eigen energy values and Eigen functions of a particle in an infinite square well potential. We will find that general solutions (Eigen functions) of one dimensional Schrodinger’s time- independent wave equation for a particle in an infinite square well potential have very interesting characteristics that each Eigen function is associated with a particular value of energy (Eigen energy value) of the particle confined inside an infinite square well potential.
Keyword: Eigen Functions, Eigen Values, Infinite Square Well, Laplace Transforms.
Scope of the Article: Bio-Science and Bio-Technology