Solving Quantum Mechanics Problems Via Integral Rohit Transform

This research paper presents a new method: the integral rohit transform to study and solve quantum physics problems. the standard calculus approach is typically used to solve quantum mechanics issues. the obtained solutions demonstrate the potential and efficacy of the suggested approach to overcoming quantum mechanical problems, such as low-energy particle scattering by a completely rigid sphere and particle behavior in a one-dimensional infinitely high potential box. the successful application of the integral rohit transform has been demonstrated in solving the one-dimensional time-independent schrodinger’s equation. this application has yielded results that include the determination of eigenenergy values and eigenfunctions for aparticle confined within an infinitely high potential well, as well as the calculation of the total scattering cross-section for low-energy particles interacting with a perfectly rigid sphere. in the case of low energy limit, the total scattering cross-section for low energy particles due to a perfectly rigid sphere, as determined through quantum mechanics, is equivalent to the geometrical cross-section of said sphere. additionally, the energy values that the particle can possess within a one-dimensional infinitely high potential well demonstrate that the energy of said particle, when confined within this potential well, is quantized.