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arXiv · 1707.08534

General first-order mass ladder operators for Klein-Gordon fields

Vitor Cardoso·Tsuyoshi Houri·Masashi Kimura
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Abstract

We study the ladder operator on scalar fields, mapping a solution of the Klein-Gordon equation onto another solution with a different mass, when the operator is at most first order in derivatives. Imposing the commutation relation between the d'Alembertian, we obtain the general condition for the ladder operator, which contains a non-trivial case which was not discussed in the previous work [V. Cardoso, T. Houri and M. Kimura, Phys.Rev.D 96, 024044 (2017), arXiv:1706.07339]. We also discuss the relation with supersymmetric quantum mechanics.

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Vitor Cardoso, Tsuyoshi Houri, Masashi Kimura. 2017-07-26. General first-order mass ladder operators for Klein-Gordon fields. https://doi.org/10.1088/1361-6382%2Faa9a04

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