Quantum theory of some two-dimensional oscillator problems in complex coordinates

M. K. Fung

doi:10.6122/CJP.51.639

Quantum theory of some two-dimensional oscillator problems in complex coordinates

M. K. Fung^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a unified approach for calculating the transformation matrix of a class of two-dimensional oscillation problems in complex coordinates as a quantum theory. These problems are characterized by the fact that their classical equations of motion are linear differential equations with constant coefficients in the complex coordinates only. They can be solved in a way no different from that of one-dimensional linear oscillation problems.

Original language	English
Pages (from-to)	639-645
Number of pages	7
Journal	Chinese Journal of Physics
Volume	51
Issue number	4
DOIs	https://doi.org/10.6122/CJP.51.639
Publication status	Published - 2013

ASJC Scopus subject areas

General Physics and Astronomy

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10.6122/CJP.51.639

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abstract = "We present a unified approach for calculating the transformation matrix of a class of two-dimensional oscillation problems in complex coordinates as a quantum theory. These problems are characterized by the fact that their classical equations of motion are linear differential equations with constant coefficients in the complex coordinates only. They can be solved in a way no different from that of one-dimensional linear oscillation problems.",

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AB - We present a unified approach for calculating the transformation matrix of a class of two-dimensional oscillation problems in complex coordinates as a quantum theory. These problems are characterized by the fact that their classical equations of motion are linear differential equations with constant coefficients in the complex coordinates only. They can be solved in a way no different from that of one-dimensional linear oscillation problems.

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Quantum theory of some two-dimensional oscillator problems in complex coordinates

Abstract

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