Quantum aspects of the fundamental Dirac membrane model

被引:3
|
作者
Stedile, E [1 ]
机构
[1] Pontificia Univ Catolica Parana, Dept Math, BR-81611970 Curitiba, Parana, Brazil
关键词
charged membrane; Dirac equation; numerical solution;
D O I
10.1023/B:IJTP.0000028871.85402.d6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The classical relativistic Hamiltonian derived by Dirac for a charged membrane is written in a linearized form and it is pointed out that the membrane has spin 1/2 under the action of an external magnetic field. A spin-rotation coupling term is included into the linearized Hamiltonian and the corresponding wave equation for the membrane is written. It leads to quantized radial modes of oscillations and its first eigenvalues are derived numerically. Asymptotic solutions are also considered.
引用
收藏
页码:385 / 397
页数:13
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