Speaker
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 $\beta\rightarrow 0$, 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 $\beta\rightarrow 0$ the energy spectrum generated by NEQH will recover to energy spectrum of standard Hamiltonian.
