1 Lecturer of Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology, Jammu, India.
2 Lecturer of Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology, Jammu, India.
3 Professor, Department of Mathematics, NIILM University, Kaithal (Haryana), India.
Doi: 10.2016-28457823; DOI Link :: http://doi-ds.org/doilink/10.2020-36786965/
Quantum mechanics explains the nature of atomic particles at the small scale of energy and most of the boundary value problems in this mechanics are generally solved by ordinary algebraic or analytical methods or calculus approach or by Fourier Transform. In this paper, a new approach is presented to solve the one-dimensional time-independent Schrodinger’s equation for a particle inside the one-dimensional infinitely high potential box and for a particle impinging on the vertical potential step by applying a new integral transform called Rohit Transform (RT) and demonstrated it to find the eigen values and eigen functions for a particle inside the one-dimensional infinitely high potential box and for a particle impinging on the vertical potential step to find the reflection and transmission coefficients.
Keywords: Rohit Transform (RT), Schrodinger Equation, Vertical Potential Step, and Infinitely high Potential Box.
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