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Name:

Miloslav Znojil

Reviewer number:

9689

Email:

znojil@ujf.cas.cz

Item's zbl-Number:

DE 017 270 039

Author(s):

Dong, Shi-Hai

Shorttitle:

Quantum monodromy in the spectrum of Schroedinger equation with a decadic potential

Source:

Int. J. Theor. Phys. 41, No. 1, 89 - 99 (2002).

Classification:

81Q05

Closed and approximate solutions to the Schroedinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Primary Classification:

Secondary Classification:

Keywords:

Schroedinger eqatuion in two dimensions; spectrum of energies; numerical computation; lattice with dislocations;

Review:

A part of a series, a very short note where Schroedinger equation
with three sample potentials of a double-, triple- or
quadruple-well shape is solved, numerically, in two dimensions.
The spectra of bound states are displayed, in three pictures, as
forming lattices with dislocations explained as a quantum
manifestation of essential singularity in the classical action
integral. Giving no details, the possible formal connection of
such a parallel-transport structure of the lattice of energies
with the monodromy-matrix interpretation of periodic maps is
mentioned.

Remarks to the editors:

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