6 papers · 1 filter
Universal Formula for the Expectation Value of the Radial Operator under the Aharonov-Bohm Flux and the Coulomb Field
W. F. Kao, Y. M. Kao, D. H. Lin
A useful and universal formula for the expectation value of the radial operator in the presence of the Aharonov-Bohm flux and the Coulomb Field is established. We find that the exp…
Green's Function of the Relativistic Coulomb System via Duru-Kleinert Method
De-Hone Lin
In this paper the fixed-energy amplitude (Green's function) of the relativistic Coulomb system is solved by Duru-Kleinert (DK) method. In the course of the calculations we observe…
Quantization via Classical Orbits
De-Hone Lin
A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed-energy amplitude is given. The central scheme in computing corrections of all o…
Quantum Conditions of the Relativistic Potential Problems
De-Hone Lin
The quantum conditions of the relativistic integrable systems whose classical motion is multiply periodic are given by considering the single-valuedness of the linear superposition…
Path Integral on Relativistic Spinless Potential Problems
De-Hone Lin
The formulation of the relativistic spinless path integral on the general affine space is presented. For the one dimensional space, the Duru-Kleinert (DK) method and the -functi…
Relativistic Trace Formula for Bound States in Terms of Classical Periodic Orbits
H. Kleinert, D. H. Lin
We set up a trace formula for the relativistic density of states in terms of a topological sum of classical periodic orbits. The result is applicable to any relativistic integrable…