Siam Physics Congress 2018

SPECTRAL ANALYSIS OF 1-PARAMETER FAMILY NEWTON’S EQUIVALENT HAMILTONIAN WITH SQUARE WELL POTENTIALS

22 May 2018, 11:15

15m

Phetchabun Room

Oral Atomic Physics, Quantum Physics, Molecular and Chemical Physics A15: Atomics

Speaker

Amornthep Tita (The Institute for Fundamental Study “The Tah Poe Academia Institute”, Naresuan University)

Description

Alternative Hamiltonians yielding Newton’s equation which expressed in 1-parameter family are studied. These Hamiltonians called Newton’s equivalent Hamiltonians (NEH) give the same Newton’s equation. After quantization and a suitable ordering, a 1-parameter family Newton’s equivalent quantum Hamiltonians (NEQH) is introduced. The property of NEQH is that as limit of parameter $\beta \to 0$, the NEQH will recover to standard Hamiltonian. Eigenenergy and wavefunction of NEQH are analyzed by using Schrödinger equation for both infinite square well and finite square well potentials. For both systems, the wavefunction of NEQH is exhibited the same form to standard case. But, the discrete energy spectrum is different from standard one due to the parameter $\beta$. Moreover, at limit of $\beta \to 0$ the energy spectrum generated by NEQH will recover to energy spectrum of standard Hamiltonian.