Robert, Didier; Combescure, Monique Coherent states and applications in mathematical physics. 2nd revised and enlarged edition. (English) Zbl 1479.81033 Theoretical and Mathematical Physics (Cham). Cham: Springer (ISBN 978-3-030-70844-3/hbk; 978-3-030-70847-4/pbk; 978-3-030-70845-0/ebook). xvii, 576 p. (2021). Reviewer: Laure Gouba (Trieste) MSC: 81R30 81-02 81P40 81V73 81V74 PDF BibTeX XML Cite \textit{D. Robert} and \textit{M. Combescure}, Coherent states and applications in mathematical physics. 2nd revised and enlarged edition. Cham: Springer (2021; Zbl 1479.81033) Full Text: DOI
Afshar, Davood; Motamedinasab, Amin; Anbaraki, Azam; Jafarpour, Mojtaba Even and odd coherent states of supersymmetric harmonic oscillators and their nonclassical properties. (English) Zbl 1334.81047 Int. J. Mod. Phys. B 30, No. 7, Article ID 1650026, 11 p. (2016). MSC: 81Q60 81P40 81R30 PDF BibTeX XML Cite \textit{D. Afshar} et al., Int. J. Mod. Phys. B 30, No. 7, Article ID 1650026, 11 p. (2016; Zbl 1334.81047) Full Text: DOI
Zypman, Fredy R. Supersymmetric displaced number states. (English) Zbl 1373.81225 Symmetry 7, No. 2, 1017-1027 (2015). MSC: 81Q60 81R30 PDF BibTeX XML Cite \textit{F. R. Zypman}, Symmetry 7, No. 2, 1017--1027 (2015; Zbl 1373.81225) Full Text: DOI
Chen, Yong-Qing On one-parameter supercoherent state representation of the gl(2, 1) superalgebra. (English) Zbl 1283.81075 Int. J. Theor. Phys. 52, No. 12, 4470-4476 (2013). MSC: 81Q60 81R30 17A70 17B81 PDF BibTeX XML Cite \textit{Y.-Q. Chen}, Int. J. Theor. Phys. 52, No. 12, 4470--4476 (2013; Zbl 1283.81075) Full Text: DOI
Chen, Yong-Qing A new one-parameter inhomogeneous differential realization of the \(\mathrm{spl}(2,1)\) superalgebra. (English) Zbl 1260.81124 Int. J. Theor. Phys. 51, No. 12, 3763-3768 (2012). MSC: 81R30 81Q80 17A70 22E70 81U15 PDF BibTeX XML Cite \textit{Y.-Q. Chen}, Int. J. Theor. Phys. 51, No. 12, 3763--3768 (2012; Zbl 1260.81124) Full Text: DOI
Chen, Yong-Qing; Yu, Bo-Lin One-parameter matrix representation of \(\mathrm{spl}(2,1)\) superalgebra. (English) Zbl 1261.81072 Int. J. Theor. Phys. 51, No. 9, 2917-2922 (2012). MSC: 81R30 81R12 17B20 PDF BibTeX XML Cite \textit{Y.-Q. Chen} and \textit{B.-L. Yu}, Int. J. Theor. Phys. 51, No. 9, 2917--2922 (2012; Zbl 1261.81072) Full Text: DOI
Combescure, Monique; Robert, Didier Coherent states and applications in mathematical physics. (English) Zbl 1243.81004 Theoretical and Mathematical Physics (Cham). Berlin: Springer (ISBN 978-94-007-0195-3/hbk; 978-94-007-0196-0/ebook). xiii, 415 p. (2012). Reviewer: Chen Yong-Qing (Shenzhen) MSC: 81R30 81-02 81P40 PDF BibTeX XML Cite \textit{M. Combescure} and \textit{D. Robert}, Coherent states and applications in mathematical physics. Berlin: Springer (2012; Zbl 1243.81004) Full Text: DOI Link
Kirchanov, V. S.; Zharkov, V. M. Effective functional for the supercoherent state of spinless algebra in the Hubbard model. (English. Russian original) Zbl 1259.82139 Russ. Phys. J. 54, No. 6, 658-667 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 39-46 (2011). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D55 17A70 81R30 PDF BibTeX XML Cite \textit{V. S. Kirchanov} and \textit{V. M. Zharkov}, Russ. Phys. J. 54, No. 6, 658--667 (2011; Zbl 1259.82139); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 39--46 (2011) Full Text: DOI
Cherbal, Omar; Drir, Mahrez; Maamache, Mustapha; Trifonov, Dimitar A. Supersymmetric extension of non-Hermitian \(su(2)\) Hamiltonian and supercoherent states. (English) Zbl 1217.81079 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 096, 11 p. (2010). MSC: 81Q12 81Q60 81R30 PDF BibTeX XML Cite \textit{O. Cherbal} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 096, 11 p. (2010; Zbl 1217.81079) Full Text: DOI arXiv EuDML
Chen, Yong-Qing On one-parameter supercoherent state of \(\mathrm{spl}(2,1)\) superalgebra. (English) Zbl 1176.81064 Int. J. Theor. Phys. 48, No. 9, 2652-2659 (2009). MSC: 81R30 81U15 17A70 PDF BibTeX XML Cite \textit{Y.-Q. Chen}, Int. J. Theor. Phys. 48, No. 9, 2652--2659 (2009; Zbl 1176.81064) Full Text: DOI
Alvarez-Moraga, Nibaldo; Hussin, Véronique sh\((2/2)\) superalgebra eigenstates and generalized supercoherent and supersqueezed states. (English) Zbl 1067.81053 Int. J. Theor. Phys. 43, No. 1, 179-218 (2004). MSC: 81R05 81Q05 22E70 81R30 17A70 17B81 PDF BibTeX XML Cite \textit{N. Alvarez-Moraga} and \textit{V. Hussin}, Int. J. Theor. Phys. 43, No. 1, 179--218 (2004; Zbl 1067.81053) Full Text: DOI arXiv
Daoud, M.; Douari, J. A generalized Jaynes-Cummings model: nonlinear dynamical superalgebra \(u(1,1)\) and supercoherent states. (English) Zbl 1073.81603 Int. J. Mod. Phys. B 17, No. 12, 2473-2486 (2003). MSC: 81R30 81R15 PDF BibTeX XML Cite \textit{M. Daoud} and \textit{J. Douari}, Int. J. Mod. Phys. B 17, No. 12, 2473--2486 (2003; Zbl 1073.81603) Full Text: DOI arXiv
Chen, Yong-Qing A supercoherent state and a new inhomogeneous differential realization of the \(\text{spl}(2,1)\) superalgebra. (English) Zbl 1006.81036 Lett. Math. Phys. 54, No. 3, 203-212 (2000). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81R30 81R50 17B37 PDF BibTeX XML Cite \textit{Y.-Q. Chen}, Lett. Math. Phys. 54, No. 3, 203--212 (2000; Zbl 1006.81036) Full Text: DOI
Samsonov, Boris F. Supersymmetry and supercoherent states of a nonrelativistic free particle. (English) Zbl 0886.46066 J. Math. Phys. 38, No. 9, 4492-4503 (1997). MSC: 46N50 81Q60 81R30 PDF BibTeX XML Cite \textit{B. F. Samsonov}, J. Math. Phys. 38, No. 9, 4492--4503 (1997; Zbl 0886.46066) Full Text: DOI arXiv
Chung, Won-Sang Nonclassical representation of \(\text{osp}_ q(1/2)\) algebra and completeness relation of \(q\)-deformed supercoherent states. (English) Zbl 0865.17006 Int. J. Theor. Phys. 35, No. 7, 1289-1295 (1996). MSC: 17B37 81R30 81R50 17A70 PDF BibTeX XML Cite \textit{W.-S. Chung}, Int. J. Theor. Phys. 35, No. 7, 1289--1295 (1996; Zbl 0865.17006) Full Text: DOI
El Gradechi, Amine M.; Nieto, Luis M. Supercoherent states, super-Kähler geometry and geometric quantization. (English) Zbl 0840.58010 Commun. Math. Phys. 175, No. 3, 521-563 (1996). MSC: 46L85 46L87 81R30 53D50 58C50 22E45 81S10 17A70 17B10 PDF BibTeX XML Cite \textit{A. M. El Gradechi} and \textit{L. M. Nieto}, Commun. Math. Phys. 175, No. 3, 521--563 (1996; Zbl 0840.58010) Full Text: DOI arXiv
Gong, Renshan A \(q\)-analogue of the supersymmetric oscillator and its \(q\)-supercoherent states. (English) Zbl 0843.17022 J. Phys. A, Math. Gen. 27, No. 19, 6533-6538 (1994). MSC: 17B37 81R30 81R50 PDF BibTeX XML Cite \textit{R. Gong}, J. Phys. A, Math. Gen. 27, No. 19, 6533--6538 (1994; Zbl 0843.17022) Full Text: DOI
Hao, Sanru; Li, Guanghua; Long, Junyan The \(q\)-superoscillators in supersymmetric quantum systems and their \(q\)-supercoherent states. (English) Zbl 0838.17015 J. Phys. A, Math. Gen. 27, No. 17, 5995-6004 (1994). MSC: 17B37 81R30 81R50 81Q60 53D50 PDF BibTeX XML Cite \textit{S. Hao} et al., J. Phys. A, Math. Gen. 27, No. 17, 5995--6004 (1994; Zbl 0838.17015) Full Text: DOI
Zeng, Gaojin; Kuang, Leman The boson-fermion method to construct the OSP(1,2) supercoherent states. (Chinese. English summary) Zbl 0788.17023 Acta Sci. Nat. Univ. Norm. Hunanensis 16, No. 2, 123-125 (1993). MSC: 17B81 81R30 PDF BibTeX XML Cite \textit{G. Zeng} and \textit{L. Kuang}, Acta Sci. Nat. Univ. Norm. Hunanensis 16, No. 2, 123--125 (1993; Zbl 0788.17023)
Kuang, Leman The \(q\)-supercoherent states of the \(q\)-deformed su(2) superalgebra. (English) Zbl 0763.17025 J. Phys. A, Math. Gen. 25, No. 18, 4827-4833 (1992). MSC: 17B81 17B37 81R50 17A70 PDF BibTeX XML Cite \textit{L. Kuang}, J. Phys. A, Math. Gen. 25, No. 18, 4827--4833 (1992; Zbl 0763.17025) Full Text: DOI
Günaydin, Murat Unitary highest weight representations of noncompact supergroups. (English) Zbl 0655.17009 J. Math. Phys. 29, No. 6, 1275-1282 (1988). Reviewer: R.C.King MSC: 17B70 22E70 17A70 PDF BibTeX XML Cite \textit{M. Günaydin}, J. Math. Phys. 29, No. 6, 1275--1282 (1988; Zbl 0655.17009) Full Text: DOI
Aragone, C.; Zypman, F. Supercoherent states. (English) Zbl 0626.58041 J. Phys. A 19, 2267-2279 (1986). MSC: 58Z05 81R30 PDF BibTeX XML Cite \textit{C. Aragone} and \textit{F. Zypman}, J. Phys. A, Math. Gen. 19, 2267--2279 (1986; Zbl 0626.58041) Full Text: DOI