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

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General first-order mass ladder operators for Klein-Gordon fields. / Cardoso, Vitor; Houri, Tsuyoshi; Kimura, Masashi.

In: Classical and Quantum Gravity, Vol. 35, No. 1, 015011, 11.01.2018.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Cardoso, V, Houri, T & Kimura, M 2018, 'General first-order mass ladder operators for Klein-Gordon fields', Classical and Quantum Gravity, vol. 35, no. 1, 015011. https://doi.org/10.1088/1361-6382/aa9a04

APA

Cardoso, V., Houri, T., & Kimura, M. (2018). General first-order mass ladder operators for Klein-Gordon fields. Classical and Quantum Gravity, 35(1), [015011]. https://doi.org/10.1088/1361-6382/aa9a04

Vancouver

Cardoso V, Houri T, Kimura M. General first-order mass ladder operators for Klein-Gordon fields. Classical and Quantum Gravity. 2018 Jan 11;35(1). 015011. https://doi.org/10.1088/1361-6382/aa9a04

Author

Cardoso, Vitor ; Houri, Tsuyoshi ; Kimura, Masashi. / General first-order mass ladder operators for Klein-Gordon fields. In: Classical and Quantum Gravity. 2018 ; Vol. 35, No. 1.

Bibtex

@article{27937749fa1243338efa0fbcf276325b,
title = "General first-order mass ladder operators for Klein-Gordon fields",
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 (Cardoso et al 2017 Phys. Rev. D 96 024044). We also discuss the relation with supersymmetric quantum mechanics.",
keywords = "Klein-Gordon equation, ladder operator, conformal killing vector, GAUGED EXTENDED SUPERGRAVITY",
author = "Vitor Cardoso and Tsuyoshi Houri and Masashi Kimura",
year = "2018",
month = jan,
day = "11",
doi = "10.1088/1361-6382/aa9a04",
language = "English",
volume = "35",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "Institute of Physics Publishing Ltd",
number = "1",

}

RIS

TY - JOUR

T1 - General first-order mass ladder operators for Klein-Gordon fields

AU - Cardoso, Vitor

AU - Houri, Tsuyoshi

AU - Kimura, Masashi

PY - 2018/1/11

Y1 - 2018/1/11

N2 - 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 (Cardoso et al 2017 Phys. Rev. D 96 024044). We also discuss the relation with supersymmetric quantum mechanics.

AB - 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 (Cardoso et al 2017 Phys. Rev. D 96 024044). We also discuss the relation with supersymmetric quantum mechanics.

KW - Klein-Gordon equation

KW - ladder operator

KW - conformal killing vector

KW - GAUGED EXTENDED SUPERGRAVITY

U2 - 10.1088/1361-6382/aa9a04

DO - 10.1088/1361-6382/aa9a04

M3 - Journal article

VL - 35

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 1

M1 - 015011

ER -

ID: 299200728