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.
I: Classical and Quantum Gravity, Bind 35, Nr. 1, 015011, 11.01.2018.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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