Author(s)

Farrin Payandeh^*, Touraj Mohammadpour

Department of Physics, Payame Noor University (PNU), Tehran, Iran.

In this paper, pursuing a new advised method called Delta method which is basically similar to variational method, we find the ground and excited states, according to a typical quantum Hamiltonian. Moreover, applying this method, the upper bound values for the eigenenergies of the so-called ground and excited states are estimated. We will show that this new method, is as beneficial as the traditional variational method which is common in deriving eigenenergies of some of the quantum Hamiltonians. This method helps physics students to broaden their knowledge about the possible mathematical ways; they can use to obtain eigenenergies of some quantum Hamiltonians. The advantage of Delta method to variational method is in its simplicity and reduction of the calculation procedures.

Quantum Mechanics, Eigenenergies, Alternative Methods, Delta Method

Payandeh, F. and Mohammadpour, T. (2016) Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method. Journal of Applied Mathematics and Physics, 4, 130-139. doi: 10.4236/jamp.2016.41016.