Christie, Robson; Eastman, Jessica; Schubert, Roman; Graefe, Eva-Maria Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians. (English) Zbl 1519.81356 J. Phys. A, Math. Theor. 55, No. 45, Article ID 455302, 31 p. (2022). MSC: 81S22 PDFBibTeX XMLCite \textit{R. Christie} et al., J. Phys. A, Math. Theor. 55, No. 45, Article ID 455302, 31 p. (2022; Zbl 1519.81356) Full Text: DOI arXiv
Holmes, Katherine; Rehman, Wasim; Malzard, Simon; Graefe, Eva-Maria Husimi dynamics generated by non-Hermitian Hamiltonians. arXiv:2212.03719 Preprint, arXiv:2212.03719 [quant-ph] (2022). BibTeX Cite \textit{K. Holmes} et al., ``Husimi dynamics generated by non-Hermitian Hamiltonians'', Preprint, arXiv:2212.03719 [quant-ph] (2022) Full Text: DOI arXiv OA License
Mudute-Ndumbe, Steve; Graefe, Eva-Maria A non-Hermitian PT-symmetric kicked top. arXiv:1912.09412 Preprint, arXiv:1912.09412 [quant-ph] (2019). BibTeX Cite \textit{S. Mudute-Ndumbe} and \textit{E.-M. Graefe}, ``A non-Hermitian PT-symmetric kicked top'', Preprint, arXiv:1912.09412 [quant-ph] (2019) Full Text: DOI arXiv OA License
Graefe, E. M.; Longstaff, B.; Plastow, T.; Schubert, R. Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit. (English) Zbl 1397.81098 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365203, 20 p. (2018). MSC: 81R30 81Q20 81S30 47D07 62J10 PDFBibTeX XMLCite \textit{E. M. Graefe} et al., J. Phys. A, Math. Theor. 51, No. 36, Article ID 365203, 20 p. (2018; Zbl 1397.81098) Full Text: DOI arXiv
Graefe, Eva-Maria; Mudute-Ndumbe, Steve; Taylor, Matthew Random matrix ensembles for \(PT\)-symmetric systems. (English) Zbl 1327.81222 J. Phys. A, Math. Theor. 48, No. 38, Article ID 38FT02, 10 p. (2015). MSC: 81R05 60B20 PDFBibTeX XMLCite \textit{E.-M. Graefe} et al., J. Phys. A, Math. Theor. 48, No. 38, Article ID 38FT02, 10 p. (2015; Zbl 1327.81222) Full Text: DOI arXiv
Graefe, Eva-Maria; Korsch, Hans Jürgen; Rush, Alexander; Schubert, Roman Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator. (English) Zbl 1308.81094 J. Phys. A, Math. Theor. 48, No. 5, Article ID 055301, 16 p. (2015). MSC: 81Q20 81Q05 81S30 81Q10 81Q12 PDFBibTeX XMLCite \textit{E.-M. Graefe} et al., J. Phys. A, Math. Theor. 48, No. 5, Article ID 055301, 16 p. (2015; Zbl 1308.81094) Full Text: DOI arXiv
Graefe, Eva-Maria; Graney, Maria; Rush, Alexander Semiclassical quantisation for a bosonic atom-molecule conversion system. arXiv:1505.03351 Preprint, arXiv:1505.03351 [quant-ph] (2015). BibTeX Cite \textit{E.-M. Graefe} et al., ``Semiclassical quantisation for a bosonic atom-molecule conversion system'', Preprint, arXiv:1505.03351 [quant-ph] (2015) Full Text: DOI arXiv OA License
Graefe, Eva-Maria; Korsch, Hans Jürgen; Strzys, Martin P. Bose-Hubbard dimers, Viviani’s windows and pendulum dynamics. (English) Zbl 1286.81186 J. Phys. A, Math. Theor. 47, No. 8, Article ID 085304, 16 p. (2014). MSC: 81V70 81Q20 81P16 82B20 PDFBibTeX XMLCite \textit{E.-M. Graefe} et al., J. Phys. A, Math. Theor. 47, No. 8, Article ID 085304, 16 p. (2014; Zbl 1286.81186) Full Text: DOI arXiv
Brody, Dorje C.; Graefe, Eva-Maria Information geometry of complex Hamiltonians and exceptional points. (English) Zbl 1371.82059 Entropy 15, No. 9, 3361-3378 (2013). MSC: 82C10 37K05 82C26 82C27 PDFBibTeX XMLCite \textit{D. C. Brody} and \textit{E.-M. Graefe}, Entropy 15, No. 9, 3361--3378 (2013; Zbl 1371.82059) Full Text: DOI arXiv
Graefe, Eva-Maria; Liverani, Chiara Mean-field approximation for a Bose-Hubbard dimer with complex interaction strength. (English) Zbl 1278.82012 J. Phys. A, Math. Theor. 46, No. 45, Article ID 455201, 18 p. (2013). MSC: 82B20 35Q55 PDFBibTeX XMLCite \textit{E.-M. Graefe} and \textit{C. Liverani}, J. Phys. A, Math. Theor. 46, No. 45, Article ID 455201, 18 p. (2013; Zbl 1278.82012) Full Text: DOI arXiv
Graefe, Eva-Maria Stationary states of a \(PT\) symmetric two-mode Bose-Einstein condensate. (English) Zbl 1263.81158 J. Phys. A, Math. Theor. 45, No. 44, Article ID 444015, 12 p. (2012). MSC: 81Q05 81Q10 35Q55 82B26 PDFBibTeX XMLCite \textit{E.-M. Graefe}, J. Phys. A, Math. Theor. 45, No. 44, Article ID 444015, 12 p. (2012; Zbl 1263.81158) Full Text: DOI arXiv
Graefe, Eva-Maria; Schubert, Roman Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians. (English) Zbl 1248.81078 J. Phys. A, Math. Theor. 45, No. 24, Article ID 244033, 15 p. (2012). MSC: 81R30 81Q12 81Q05 81Q20 81S30 81S10 PDFBibTeX XMLCite \textit{E.-M. Graefe} and \textit{R. Schubert}, J. Phys. A, Math. Theor. 45, No. 24, Article ID 244033, 15 p. (2012; Zbl 1248.81078) Full Text: DOI arXiv
Demange, Gilles; Graefe, Eva-Maria Signatures of three coalescing eigenfunctions. (English) Zbl 1235.81079 J. Phys. A, Math. Theor. 45, No. 2, Article ID 025303, 14 p. (2012). MSC: 81Q10 81Q15 PDFBibTeX XMLCite \textit{G. Demange} and \textit{E.-M. Graefe}, J. Phys. A, Math. Theor. 45, No. 2, Article ID 025303, 14 p. (2012; Zbl 1235.81079) Full Text: DOI arXiv
Graefe, Eva-Maria; Mailybaev, Alexei A.; Moiseyev, Nimrod Breakdown of adiabatic transfer of light in waveguides in the presence of absorption. arXiv:1207.5235 Preprint, arXiv:1207.5235 [quant-ph] (2012). BibTeX Cite \textit{E.-M. Graefe} et al., ``Breakdown of adiabatic transfer of light in waveguides in the presence of absorption'', Preprint, arXiv:1207.5235 [quant-ph] (2012) Full Text: DOI arXiv OA License
Brody, Dorje C.; Graefe, Eva-Maria Mixed-state evolution in the presence of gain and loss. arXiv:1208.5297 Preprint, arXiv:1208.5297 [quant-ph] (2012). BibTeX Cite \textit{D. C. Brody} and \textit{E.-M. Graefe}, ``Mixed-state evolution in the presence of gain and loss'', Preprint, arXiv:1208.5297 [quant-ph] (2012) Full Text: DOI arXiv OA License
Brody, Dorje C.; Graefe, Eva-Maria On complexified mechanics and coquaternions. (English) Zbl 1208.81073 J. Phys. A, Math. Theor. 44, No. 7, Article ID 072001, 9 p. (2011). MSC: 81Q05 70H05 53C26 11R52 PDFBibTeX XMLCite \textit{D. C. Brody} and \textit{E.-M. Graefe}, J. Phys. A, Math. Theor. 44, No. 7, Article ID 072001, 9 p. (2011; Zbl 1208.81073) Full Text: DOI arXiv
Brody, Dorje C.; Graefe, Eva-Maria Coquaternionic quantum dynamics for two-level systems. arXiv:1105.4038 Preprint, arXiv:1105.4038 [math-ph] (2011). BibTeX Cite \textit{D. C. Brody} and \textit{E.-M. Graefe}, ``Coquaternionic quantum dynamics for two-level systems'', Preprint, arXiv:1105.4038 [math-ph] (2011) Full Text: arXiv OA License
Brody, Dorje C.; Graefe, Eva-Maria Six-dimensional space-time from quaternionic quantum mechanics. arXiv:1105.3604 Preprint, arXiv:1105.3604 [hep-th] (2011). BibTeX Cite \textit{D. C. Brody} and \textit{E.-M. Graefe}, ``Six-dimensional space-time from quaternionic quantum mechanics'', Preprint, arXiv:1105.3604 [hep-th] (2011) Full Text: DOI arXiv OA License
Brody, Dorje C.; Graefe, Eva-Maria Coherent states and rational surfaces. (English) Zbl 1191.81129 J. Phys. A, Math. Theor. 43, No. 25, Article ID 255205, 14 p. (2010). MSC: 81R30 81Q70 PDFBibTeX XMLCite \textit{D. C. Brody} and \textit{E.-M. Graefe}, J. Phys. A, Math. Theor. 43, No. 25, Article ID 255205, 14 p. (2010; Zbl 1191.81129) Full Text: DOI arXiv
Graefe, Eva-Maria; Höning, Michael; Korsch, Hans Jürgen Classical limit of non-Hermitian quantum dynamics – a generalized canonical structure. (English) Zbl 1185.81082 J. Phys. A, Math. Theor. 43, No. 7, Article ID 075306, 18 p. (2010). MSC: 81Q12 81Q10 81R30 81S30 PDFBibTeX XMLCite \textit{E.-M. Graefe} et al., J. Phys. A, Math. Theor. 43, No. 7, Article ID 075306, 18 p. (2010; Zbl 1185.81082) Full Text: DOI arXiv
Graefe, Eva-Maria; Schubert, Roman Wave packet evolution in non-Hermitian quantum systems. arXiv:1010.4557 Preprint, arXiv:1010.4557 [quant-ph] (2010). BibTeX Cite \textit{E.-M. Graefe} and \textit{R. Schubert}, ``Wave packet evolution in non-Hermitian quantum systems'', Preprint, arXiv:1010.4557 [quant-ph] (2010) Full Text: DOI arXiv OA License
Graefe, E. M.; Günther, U.; Korsch, H. J.; Niederle, A. E. A non-Hermitian \(\mathcal{PT} \) symmetric Bose-Hubbard model: Eigenvalue rings from unfolding higher-order exceptional points. (English) Zbl 1192.81420 J. Phys. A, Math. Theor. 41, No. 25, Article ID 255206, 26 p. (2008). MSC: 81V80 81Q10 22E70 82B26 PDFBibTeX XMLCite \textit{E. M. Graefe} et al., J. Phys. A, Math. Theor. 41, No. 25, Article ID 255206, 26 p. (2008; Zbl 1192.81420) Full Text: DOI arXiv
Graefe, Eva Maria; Korsch, Hans Jürgen Crossing scenario for a nonlinear non-Hermitian two-level system. (English) Zbl 1117.81044 Czech. J. Phys. 56, No. 9, 1007-1020 (2006). MSC: 81Q05 81U05 81S25 82D55 PDFBibTeX XMLCite \textit{E. M. Graefe} and \textit{H. J. Korsch}, Czech. J. Phys. 56, No. 9, 1007--1020 (2006; Zbl 1117.81044) Full Text: DOI
Mbede, Jean Bosco; Ele, Pierre; Mveh-Abia, Chantal-Marguerite; Toure, Youssoufi; Graefe, Volker; Ma, Shugen Intelligent mobile manipulator navigation using adaptive neuro-fuzzy systems. (English) Zbl 1135.93358 Inf. Sci. 171, No. 4, 447-474 (2005). MSC: 93C85 93C42 68T40 PDFBibTeX XMLCite \textit{J. B. Mbede} et al., Inf. Sci. 171, No. 4, 447--474 (2005; Zbl 1135.93358) Full Text: DOI
Graefe, P. W. U.; Nenonen, Leo K.; Strobele, Kurt Simulation of combined discrete and continuous systems on a hybrid computer. (English) Zbl 0288.68062 Simulation 22, 129-137 (1974). MSC: 68U20 PDFBibTeX XML Full Text: DOI
McLane, P. J.; Graefe, P. W. U. Optimal regulation of a class of linear stochastic systems relative to quadratic criteria. (English) Zbl 0189.46803 Int. J. Control, I. Ser. 5, 135-143 (1967). PDFBibTeX XMLCite \textit{P. J. McLane} and \textit{P. W. U. Graefe}, Int. J. Control, I. Ser. 5, 135--143 (1967; Zbl 0189.46803) Full Text: DOI
Graefe, P. W. U. On the stabilization of unstable linear systems by white noise coefficient variations. (English) Zbl 0154.18802 Ing.-Arch. 35, 276-282 (1966). PDFBibTeX XMLCite \textit{P. W. U. Graefe}, Ing.-Arch. 35, 276--282 (1966; Zbl 0154.18802) Full Text: DOI
Graefe, P. W. U. Stability of a linear second order system under random parametric excitation. (English) Zbl 0141.42101 Ing.-Arch. 35, 202-205 (1966). PDFBibTeX XMLCite \textit{P. W. U. Graefe}, Ing.-Arch. 35, 202--205 (1966; Zbl 0141.42101) Full Text: DOI
Ariaratnam, S. T.; Graefe, P. W. U. Linear systems with stochastic coefficients. III. (English) Zbl 0204.18003 Int. J. Control, I. Ser. 2, 205-210 (1965). PDFBibTeX XMLCite \textit{S. T. Ariaratnam} and \textit{P. W. U. Graefe}, Int. J. Control, I. Ser. 2, 205--210 (1965; Zbl 0204.18003) Full Text: DOI
Ariaratnam, S. T.; Graefe, P. W. U. Linear systems with stochastic coefficients. II. (English) Zbl 0204.18002 Int. J. Control, I. Ser. 2, 161-169 (1965). PDFBibTeX XMLCite \textit{S. T. Ariaratnam} and \textit{P. W. U. Graefe}, Int. J. Control, I. Ser. 2, 161--169 (1965; Zbl 0204.18002) Full Text: DOI
Ariaratnam, S. T.; Graefe, P. W. U. Linear systems with stochastic coefficients. (English) Zbl 0204.18001 Int. J. Control, I. Ser. 1, 239-250 (1965). PDFBibTeX XMLCite \textit{S. T. Ariaratnam} and \textit{P. W. U. Graefe}, Int. J. Control, I. Ser. 1, 239--250 (1965; Zbl 0204.18001) Full Text: DOI
Graefe, H. Über die Deformation der Erdoberfläche durch Scherungskräfte im Herd von Erdbeben. (German) JFM 60.1471.04 Z. f. Geophysik 10, 17-26 (1934). Reviewer: Bungers, R., Dr. (Göttingen) PDFBibTeX XML
Graefe, Fr. Einfache Konstruktion der Trägheitsmomente ebener Flächen aus drei bekannten Trägheitsmomenten ohne Hülfe von Trägheitskreisen und Trägheitsellipsen. (German) JFM 43.0805.02 Zs. f. Math. u. Phys. 61, 202-203 (1912). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XMLCite \textit{Fr. Graefe}, Schlömilch Z. 61, 202--203 (1912; JFM 43.0805.02)
Graefe, F. Beweis des Brianchonschen Satzes bezüglich des Kreises. (German) JFM 42.0527.02 Unterrichtsbl. f. Math. 17, 13-14 (1911). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XML
Graefe, Fr. Konstruktion des regelmäßigen Siebzehnecks. (German) JFM 41.0565.04 Deutsche Math.-Ver. 19, 320 (1910). Reviewer: Güntsche, Prof. (Berlin) PDFBibTeX XMLCite \textit{Fr. Graefe}, Jahresber. Dtsch. Math.-Ver. 19, 320 (1910; JFM 41.0565.04) Full Text: EuDML
Eneström, G.; Enkle, J.; Graefe, F.; Müller, Felix Kleine Bemerkungen zur zweiten Auflage von Cantors “Vorlesungen über Geschichte der Mathematik”. (German) JFM 35.0001.02 Bibl. Math. (3) 5, 68-72 (1904); 5, 200-208 (1904); 5, 305-310 (1904); 5, 407-414 (1904). Reviewer: Eneström, Prof. (Stockholm) MSC: 01A05 PDFBibTeX XML
Graefe, Fr. Nachweis, daß die von Euler zur Rektifikation und Quadratur des Kreises benutzte Kurve \(r = \frac{\pi}{2}\frac{\sin t}{t}\) eine Inverse der Quadratrix ist. (German) JFM 33.0531.02 Zs. f. math. u. naturw. Unterr. 33, 554-555 (1902). PDFBibTeX XML
Graefe, Fr. Zusammenhang zwischen Zentralellipse und Trägheitskreis (nebst Konstruktion der Ellipse aus zwei konjugierten Durchmessern). (German) JFM 32.0710.02 Ztschr. f. Math. u. Phys. 46, 348-353 (1901). Reviewer: Jolles, Prof. (Halensee) PDFBibTeX XMLCite \textit{Fr. Graefe}, Schlömilch Z. 46, 348--353 (1901; JFM 32.0710.02)
Gräfe, Fr. Einfache Construction der Centralellipse. (German) JFM 30.0630.02 Zeitschr. deutscher Ing. 43, 210-211 (1899). Reviewer: Sommerfeld, A., Prof. (Aachen) PDFBibTeX XML
Graefe, Fr. Strecken- und Punktrechnung, insbesondere die Rechnung mit parallelen Strecken. (German) JFM 27.0463.02 Hoppe Arch. (2) 15, 34-116 (1897). Reviewer: Schlegel, Prof. (Hagen) PDFBibTeX XMLCite \textit{Fr. Graefe}, Hoppe Arch. (2) 15, 34--116 (1897; JFM 27.0463.02)
Graefe, Fr. Determination of the number of primes less than a given bound \(m\), when the primes less than \(\sqrt m\) are known. (Bestimmung der Anzahl aller unter einer gegebenen Zahl \(m\) liegenden Primzahlen, wenn die unter \(\sqrt m\) liegenden Primzahlen bekannt sind.) (German) JFM 25.0262.02 Schlömilch Z. XXXIX, 38-50 (1894). Reviewer: Minkowski, Prof. (Zürich) MSC: 11A41 11N05 11Y11 PDFBibTeX XMLCite \textit{Fr. Graefe}, Schlömilch Z. 39, 38--50 (1894; JFM 25.0262.02)
Graefe, Fr. Auflösungen und Beweise der Aufgaben und Lehrsätze aus der analytischen Geometrie des Raumes insbesondere der Flächen zweiten Grades. (German) JFM 22.0690.01 Für Studirende an Universitäten und technischen Hochschulen bearb. Leipzig. Teubner. XVI u. 353 S. gr. 8\(^\circ\) (1890). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XML
Graefe, Fr. (ed.) Aufgaben und Lehrsätze aus der analytischen Geometrie des Raumes, insbesondere der Flächen zweiten Grades. Für Studirende an Universitäten und technischen Hochschulen bearbeitet. (German) JFM 20.0681.05 Leipzig. Teubner. XIV u. 127 S. gr. \(8^\circ\) (1888). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XML
Graefe, Fr. Auflösungen und Beweise der Aufgaben und Lehrsätze aus der analytischen Geometrie des Punktes, der geraden Linie, des Kreises und der Kegelschnitte. (German) JFM 18.0675.01 Leipzig. B. G. Teubner. IV + 258 S. \(8^{\circ}\) (1886). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XML
Graefe, Fr. Aufgaben und Lehrsätze aus der analytischen Geometrie des Punktes, der geraden Linie, des Kreises und der Kegelschnitte. Für Studirende an Universitäten und technischen Hochschulen. (German) JFM 17.0689.01 Leipzig. Teubner. IV u. 136 S. \(8^\circ\) (1885). Reviewer: Lampe, Prof. (Berlin) PDFBibTeX XML
Graefe, F. Einige Sätze über abwickelbare Flächen abgeleitet mit Hülfe von Quaternionen. (German) JFM 14.0595.02 Hoppe Arch. LXIX, 1-18 (1883). Reviewer: Schlegel, Dr. (Waren) PDFBibTeX XMLCite \textit{F. Graefe}, Grunert Arch. 69, 1--18 (1883; JFM 14.0595.02)
Graefe, F. Vorlesungen über die Theorie der Quaternionen mit Anwendung auf die allgemeine Theorie der Flächen und der Linien doppelter Krümmung. (German) JFM 15.0580.02 Leipzig. Teubner (1883). Reviewer: Schlegel, Dr. (Waren) PDFBibTeX XML
Graefe, Fr. Erweiterung eines Satzes von Hesse über Sechsecke im Raume. (German) JFM 14.0552.01 Kronecker J. XCIII, 87-88 (1882). Reviewer: Rodenberg, Prof. (Hannover) PDFBibTeX XMLCite \textit{Fr. Graefe}, J. Reine Angew. Math. 93, 87--88 (1882; JFM 14.0552.01) Full Text: Crelle EuDML
Gräfe, Fr. Notiz über das Pascal’sche, resp. Brianchon’sche Sechseck. (German) JFM 14.0529.02 Kronecker J. XCIII, 184-188 (1882). Reviewer: Schubert, Dr. (Hamburg) PDFBibTeX XMLCite \textit{Fr. Gräfe}, J. Reine Angew. Math. 93, 184--188 (1882; JFM 14.0529.02) Full Text: Crelle
Graefe Integrals of certain linear differential equations. (Integrale von einigen linearen Differentialgleichungen.) (German) JFM 13.0280.01 Kronecker J. XCI, 262-264 (1881). Reviewer: Hamburger, Dr. (Berlin) MSC: 34A30 PDFBibTeX XMLCite \textit{Graefe}, J. Reine Angew. Math. 91, 262--264 (1881; JFM 13.0280.01) Full Text: Crelle
Gräfe, F. Erweiterungen des Pascal’schen Sechsecks und damit verwandter Figuren. (German) JFM 12.0470.02 Wiesbaden. Limbarth (1880). Reviewer: Schubert, Dr. (Hamburg) PDFBibTeX XML
Gräfe, F. Einige Notizen über das Pascal’sche Sechseck. (German) JFM 12.0470.01 Schlömilch Z. XXV, 215-216 (1880). PDFBibTeX XMLCite \textit{F. Gräfe}, Schlömilch Z. 25, 215--216 (1880; JFM 12.0470.01)
Gräfe Short deduction of the addition theorems of the elliptic integrals from the equation \(\frac {da}{\Delta a}+\frac {db}{\Delta b}=0\). (Kurze Ableitung der Additionstheoreme der elliptischen Integrale aus der Gleichung \(\frac {da}{\Delta a}+\frac {db}{\Delta b}=0\).) (German) JFM 12.0353.02 Borchardt J. XC, 83-84 (1880). Reviewer: Müller, F., Dr. (Berlin) MSC: 33E05 PDFBibTeX XMLCite \textit{Gräfe}, J. Reine Angew. Math. 90, 83--84 (1880; JFM 12.0353.02) Full Text: Crelle