Yadav, Satish; Khare, Avinash; Mandal, Bhabani Prasad Supersymmetry and shape invariance of exceptional orthogonal polynomials. (English) Zbl 1502.81039 Ann. Phys. 444, Article ID 169064, 11 p. (2022). MSC: 81Q60 33C45 81Q05 81Q80 PDFBibTeX XMLCite \textit{S. Yadav} et al., Ann. Phys. 444, Article ID 169064, 11 p. (2022; Zbl 1502.81039) Full Text: DOI arXiv
Yadav, Rajesh Kumar; Banerjee, Suman; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad One parameter family of rationally extended isospectral potentials. (English) Zbl 1483.81081 Ann. Phys. 436, Article ID 168679, 26 p. (2022). MSC: 81Q60 58J53 31C15 PDFBibTeX XMLCite \textit{R. K. Yadav} et al., Ann. Phys. 436, Article ID 168679, 26 p. (2022; Zbl 1483.81081) Full Text: DOI arXiv
Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. (English) Zbl 1519.81179 J. Phys. A, Math. Theor. 53, No. 45, Article ID 455702, 29 p. (2020). MSC: 81Q05 35Q55 81Q12 81Q60 PDFBibTeX XMLCite \textit{E. G. Charalampidis} et al., J. Phys. A, Math. Theor. 53, No. 45, Article ID 455702, 29 p. (2020; Zbl 1519.81179) Full Text: DOI arXiv
Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad A class of exactly solvable rationally extended non-central potentials in two and three dimensions. (English) Zbl 1391.81090 J. Math. Phys. 59, No. 6, 062103, 15 p. (2018). MSC: 81Q80 81Q05 42C10 PDFBibTeX XMLCite \textit{N. Kumari} et al., J. Math. Phys. 59, No. 6, 062103, 15 p. (2018; Zbl 1391.81090) Full Text: DOI arXiv
Dawson, John F.; Cooper, Fred; Khare, Avinash; Mihaila, Bogdan; Arévalo, Edward; Lan, Ruomeng; Comech, Andrew; Saxena, Avadh Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl-Teller external potential. (English) Zbl 1390.35320 J. Phys. A, Math. Theor. 50, No. 50, Article ID 505202, 23 p. (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 81V55 81R05 35L86 35B35 35A15 PDFBibTeX XMLCite \textit{J. F. Dawson} et al., J. Phys. A, Math. Theor. 50, No. 50, Article ID 505202, 23 p. (2017; Zbl 1390.35320) Full Text: DOI arXiv
Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems. (English) Zbl 1372.81181 Ann. Phys. 385, 57-69 (2017). MSC: 81V70 81Q05 33C90 81Q80 PDFBibTeX XMLCite \textit{N. Kumari} et al., Ann. Phys. 385, 57--69 (2017; Zbl 1372.81181) Full Text: DOI arXiv
Ramos, Arturo; Bagchi, Bijan; Khare, Avinash; Kumari, Nisha; Mandal, Bhabani Prasad; Yadav, Rajesh Kumar A short note on “Group theoretic approach to rationally extended shape invariant potentials”. (English) Zbl 1366.81156 Ann. Phys. 382, 143-149 (2017). MSC: 81Q05 81Q60 PDFBibTeX XMLCite \textit{A. Ramos} et al., Ann. Phys. 382, 143--149 (2017; Zbl 1366.81156) Full Text: DOI arXiv
Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. (English) Zbl 1357.35259 J. Phys. A, Math. Theor. 50, No. 1, Article ID 015301, 24 p. (2017). MSC: 35Q55 35C08 81R05 81Q60 PDFBibTeX XMLCite \textit{F. Cooper} et al., J. Phys. A, Math. Theor. 50, No. 1, Article ID 015301, 24 p. (2017; Zbl 1357.35259) Full Text: DOI arXiv
Kumari, Nisha; Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Mandal, Bhabani Prasad Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials. (English) Zbl 1380.81427 Ann. Phys. 373, 163-177 (2016). MSC: 81U15 33C45 PDFBibTeX XMLCite \textit{N. Kumari} et al., Ann. Phys. 373, 163--177 (2016; Zbl 1380.81427) Full Text: DOI arXiv
Yadav, Rajesh Kumar; Khare, Avinash; Bagchi, Bijan; Kumari, Nisha; Mandal, Bhabani Prasad Parametric symmetries in exactly solvable real and PT symmetric complex potentials. (English) Zbl 1341.81029 J. Math. Phys. 57, No. 6, 062106, 16 p. (2016). MSC: 81Q80 81R05 81Q05 81Q10 81Q60 PDFBibTeX XMLCite \textit{R. K. Yadav} et al., J. Math. Phys. 57, No. 6, 062106, 16 p. (2016; Zbl 1341.81029) Full Text: DOI arXiv
Yadav, Rajesh Kumar; Kumari, Nisha; Khare, Avinash; Mandal, Bhabani Prasad Group theoretic approach to rationally extended shape invariant potentials. (English) Zbl 1343.81083 Ann. Phys. 359, 46-54 (2015). MSC: 81Q05 81R15 81Q60 81Q12 PDFBibTeX XMLCite \textit{R. K. Yadav} et al., Ann. Phys. 359, 46--54 (2015; Zbl 1343.81083) Full Text: DOI arXiv
Khare, Avinash; Sukhatme, Uday Analytically solvable PT-invariant periodic potentials. (English) Zbl 1123.81420 Phys. Lett., A 324, No. 5-6, 406-414 (2004). MSC: 81U15 81Q60 PDFBibTeX XMLCite \textit{A. Khare} and \textit{U. Sukhatme}, Phys. Lett., A 324, No. 5--6, 406--414 (2004; Zbl 1123.81420) Full Text: DOI arXiv
Narayan Deb, Ram; Khare, Avinash; Dutta Roy, Binayak Complex optical potentials and pseudo-Hermitian Hamiltonians. (English) Zbl 1006.81095 Phys. Lett., A 307, No. 4, 215-221 (2003), erratum: 310, No. 5-6, 498-498 (2003). MSC: 81V35 PDFBibTeX XMLCite \textit{R. Narayan Deb} et al., Phys. Lett., A 307, No. 4, 215--221 (2003; Zbl 1006.81095) Full Text: DOI arXiv