One Correction of Quantum Resonator Energy Level

Xuehua Jiang

Published Jan 1, 2004• 0 citations

Abstract

Relativistic effect taken into consideration and a certain quantum resonator energy level being corrected by perturbation theory, the energy level structural formula which is the same as the result obtained by using perturbation items is obtained, but this method is more easier, which offers a new correction for analyzing the energy level of some quantum resonator.

Related papers

A New Approach on Wave Function and Energy Level Calculation Through Perturbation Theory

Biswanath Rath

A new approach to non-relativistic large order perturbation theory for constructing energy and wave function correction up to K th order has been developed. Convergent argument of this series has been demonstrated for the ground state of second order and fourth order Schroedinger equation. Further a comparison with the Bender and Wu computational work reflects that the present series is not the same as Rayleigh-Schroedinger perturbation series.

Journal of the Physical Society of JapanSep 15, 19982 citations

Basic quantum Hamiltonian's relativistic corrections

Gintautas Kamuntavičius

After analyzing Dirac's equation, one can suggest that a well-known quantum-mechanical momentum operator is associated with relativistic momentum, rather than with non-relativistic one. Consideration of relativistic energy and momentum expressions allows us to define the non-relativistic, relativistic and pseudo-relativistic (present in Schrödinger equation) kinetic energy operators. Consequences of kinetic energy operator's correction for spectra of basic quantum Hamiltonians are investigated. In some cases this correction can produce remarkable spectra modifications.

arXiv:1302.0491Feb 3, 20130 citations

A Relativistic Revision of the Energy in a Quantum Harmonic Oscillator

Qiao Chu

Thc perturbational theory is applied to give two degrees relativistic corrections forthe energy of a quantum oscillator and the physis ideas of correction results have been analysed.

Journal of Yiyang Teachers CollegeJan 1, 19990 citations

The Computation of High Order Approximation Formulae in Non-degenerate Stationary Perturbation Theory

Bo Wu

By the method of expanding wave function and energy level one by one,we compute the high order approximation formulae in non-degenerate stationary perturbation theory,where the wave function is computed to the second order and the energy leve to the third order.

Journal of Shangrao Normal UniversityJan 1, 20090 citations

On the Relationships Between Lower Order Energy Levels and Wave Functions in Nondegenerate Perturbation Theory

Niu Xiao-ping

This paper is devoted to a systematic discussion of nondegenerate perturbation methods.The energy corrections and state corrections are described respectively.And relationships among them have been studied at the end.

Journal of Anyang Normal UniversityJan 1, 20080 citations

Basic quantum Hamiltonian's relativistic corrections

Gintautas Kamuntavičius

After analyzing Dirac’s equation, one can suggest that a well-known quantum-mechanical momentum operator is associated with relativistic momentum, rather than with non-relativistic one. Consideration of relativistic energy and momentum expressions allows us to define the non

Feb 3, 20130 citations