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Aizawa, N., Cunha, I. E., Kuznetsova, Z., Toppan, F. (2019) On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators. Journal of Mathematical Physics, 60. 42102pp. doi:10.1063/1.5085164

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Reference TypeJournal (article/letter/editorial)
TitleOn the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators
JournalJournal of Mathematical Physics
AuthorsAizawa, N.Author
Cunha, I. E.Author
Kuznetsova, Z.Author
Toppan, F.Author
Year2019 (April)Volume60
PublisherAIP Publishing
DOIdoi:10.1063/1.5085164Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID5772313Long-form Identifiermindat:1:5:5772313:6
GUID0
Full ReferenceAizawa, N., Cunha, I. E., Kuznetsova, Z., Toppan, F. (2019) On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators. Journal of Mathematical Physics, 60. 42102pp. doi:10.1063/1.5085164
Plain TextAizawa, N., Cunha, I. E., Kuznetsova, Z., Toppan, F. (2019) On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators. Journal of Mathematical Physics, 60. 42102pp. doi:10.1063/1.5085164
In(n.d.) Journal of Mathematical Physics Vol. 60. AIP Publishing

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Aizawa, N., Kuznetsova, Z., Toppan, F. (2018) The quasi-nonassociative exceptional F(4) deformed quantum oscillator. Journal of Mathematical Physics, 59. 22101pp. doi:10.1063/1.5016915
Aizawa, N., Kuznetsova, Z., Toppan, F. (2015) ℓ-oscillators from second-order invariant PDEs of the centrally extended conformal Galilei algebras. Journal of Mathematical Physics, 56. 31701pp. doi:10.1063/1.4908232
Aizawa, N., Kuznetsova, Z., Toppan, F. (2016) Invariant partial differential equations with two-dimensional exotic centrally extended conformal Galilei symmetry. Journal of Mathematical Physics, 57. 41701pp. doi:10.1063/1.4945336
Aizawa, N., Kuznetsova, Z., Toppan, F. (2013) Chiral and real N=2 supersymmetric ℓ-conformal Galilei algebras. Journal of Mathematical Physics, 54. 93506pp. doi:10.1063/1.4820481
Aizawa, N., Kuznetsova, Z., Toppan, F. (2021) Z2×Z2-graded mechanics: The quantization. Nuclear Physics B, 967. 115426pp. doi:10.1016/j.nuclphysb.2021.115426
Chakraborty, B., Kuznetsova, Z., Toppan, F. (2010) Twist deformation of rotationally invariant quantum mechanics. Journal of Mathematical Physics, 51. 112102pp. doi:10.1063/1.3506406
Aizawa, N., Kuznetsova, Z., Toppan, F. (2020) $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics: the classical theory. The European Physical Journal C, 80 (7) doi:10.1140/epjc/s10052-020-8242-x
Beckers, J., Cornwell, J. F. (1989) On chains of orthosymplectic Lie superalgebras and the n‐dimensional quantum harmonic oscillator. Journal of Mathematical Physics, 30. 1655-1661 doi:10.1063/1.528250
Aizawa, Naruhiko, Ito, Ren, Kuznetsova, Zhanna, Tanaka, Toshiya, Toppan, Francesco (2025) Integrable Z 2 2 -graded extensions of the Liouville and Sinh–Gordon theories. Journal of Physics A: Mathematical and Theoretical, 58 (5). doi:10.1088/1751-8121/adaab3
Belokolos, E. D. (1975) Quantum particle in a one-dimensional deformed lattice. Estimates of the gaps in the spectrum. Theoretical and Mathematical Physics, 25. 1176-1184 doi:10.1007/bf01040126
Chung, W.-S. (1997) The glq(n)-covariant oscillators and q-deformed quantum mechanics in n dimensions. Journal of Mathematical Physics, 38. 2148-2153 doi:10.1063/1.531964
 
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