Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

YANG Jin-Long; HUANG Yong-Chang

doi:10.1088/1674-1137/32/10/004

Chinese Physics C> 2008, Vol. 32> Issue(10) : 788-792 DOI: 10.1088/1674-1137/32/10/004

Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

YANG Jin-Long ,
HUANG Yong-Chang ^,

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Abstract：
We use the improved Faddeev-Jackiw quantization method to quantize the electromagnetic field and its Lagrange multiplier fields. The method's comparison with the usual Faddeev-Jackiw method and the Dirac method is given. We show that this method is equivalent to the Dirac method and also retains all the merits of the usual Faddeev-Jackiw method. Moreover, it is simpler than the usual one if one needs to obtain new secondary constraints. Therefore, the improved Faddeev-Jackiw method is essential. Meanwhile, we find the new meaning of the Lagrange multipliers and explain the Faddeev-Jackiw generalized brackets concerning the Lagrange multipliers.

References

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YANG Jin-Long and HUANG Yong-Chang. Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields[J]. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004

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Received: 2007-11-26
Revised: 2008-04-04

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

Corresponding author: HUANG Yong-Chang,

Received Date: 2007-11-26

Accepted Date: 2008-04-04

Available Online: 2008-10-05

Abstract:

We use the improved Faddeev-Jackiw quantization method to quantize the electromagnetic field and its Lagrange multiplier fields. The method's comparison with the usual Faddeev-Jackiw method and the Dirac method is given. We show that this method is equivalent to the Dirac method and also retains all the merits of the usual Faddeev-Jackiw method. Moreover, it is simpler than the usual one if one needs to obtain new secondary constraints. Therefore, the improved Faddeev-Jackiw method is essential. Meanwhile, we find the new meaning of the Lagrange multipliers and explain the Faddeev-Jackiw generalized brackets concerning the Lagrange multipliers.

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Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

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通讯作者: 陈斌, bchen63@163.com

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