Publications
2016
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"SWKB and proper quantization conditions for translationally shape-invariant potentials"
K. Mahdi, Y. Kasri, Y. Grandati et A. Bérard
EPJ Plus, 131 (2016) 259. -
"Dualité onde-corpuscule formée par une masselotte oscillante dans un milieu élastique : étude théorique et similitudes quantiques"
C. Borghesi
Cf. arXiv:1609.09260v2 (en français) et arXiv:1609.09260v3 (en anglais). -
"Crystallization of binary mixtures of similar dipole moments in two dimensions: A Monte Carlo study"
R. Messina and S. Aljawhari
EPL, 115 (2016) 28005. -
"On the interaction of dipolar filaments"
R. Messina et L. Spiteri
Eur. Phys. J. E, 39 (2016) 81. -
"Semiflexible Chains at Surfaces: Worm-Like Chains and beyond"
J. Baschnagel, H. Meyer, J. Wittmer, I. Kulić, H. Mohrbach, F. Ziebert, G.-M. Nam, N.-K. Lee et A. Johner
Polymers, 8 (2016) 286. -
"Squeezed helical elastica"
L. Bouzar, M. M. Müller, P. Gosselin, I. M. Kulić et H. Mohrbach
Eur. Phys. J. E, 39 (2016) 114. Cf. aussi arXiv:1606.03611. -
"Faddeev-Jackiw Quantization of Non-Autonomous Singular Systems"
Z. Belhadi, A. Bérard et H. Mohrbach
Phys. Lett. A, 380 (2016) 3355. Cf. aussi arXiv:1603.08407. -
"Self-Assembly of Magnetic Spheres in Strong Homogeneous Magnetic Field"
R. Messina et I. Stanković
Cf. arXiv:1602.00861. -
"How Bio-Filaments Twist Membranes"
J. Fierling, A. Johner, I. M. Kulić, H. Mohrbach et M. M. Müller
Soft Matter, 12 (2016) 5747. -
"Structure and cohesive energy of dipolar helices"
I. Stanković, M. Dašić et R. Messina
Soft Matter, 12 (2016) 3056. -
"On complex, curved trajectories in microtubule gliding"
P. Gosselin, H. Mohrbach, I. M. Kulić et F. Ziebert
Physica D, 318 (2016) 105.
2015
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"A nonequilibrium power balance relation for analyzing dissipative filament dynamics"
F. Ziebert, H. Mohrbach et I. M. Kulić
Eur. Phys. J. E, 38 (2015) 129. -
"Toroidal membrane vesicles in spherical confinement"
L. Bouzar, F. Menas et M. M. Müller
Phys. Rev. E, 92 (2015) 032721. -
"Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials"
B. Bagchi, Y. Grandati et C. Quesne
J. Math. Phys., 56 (2015) 062103. -
"Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials"
Y. Grandati et C. Quesne
SIGMA, 11 (2015) 061. Cf. aussi arXiv:1503.07747. -
"Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate"
N. Stoop et M. M. Müller
Int. J. Non-Linear Mech., 75 (2015) 115. Cf. aussi arXiv:1503.05030. -
"Why Microtubules Run in Circles: Mechanical Hysteresis of the Tubulin Lattice"
F. Ziebert, H. Mohrbach et I. M. Kulić
Phys. Rev. Lett., 114 (2015) 148101. Cf. aussi arXiv:1405.4469.
2014
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"Exceptional orthogonal polynomials and generalized Schur polynomials"
Y. Grandati
J. Math. Phys., 55 (2014) 083509. Cf. aussi arXiv:1311.4530. -
"Quantization of soluble classical constrained systems"
Z. Belhadi, F. Ménas, A. Bérard et H. Mohrbach,
Ann. Phys., 351 (2014) 426. Cf. aussi arXiv:1406.3847. -
"Crunching Biofilament Rings"
J. Fierling, M. M. Müller, H. Mohrbach, A. Johner et I. M. Kulić
EPL, 107 (2014) 68002. Cf. aussi arXiv:1408.6787. -
"A short proof of the Gaillard-Matveev theorem based on shape invariance arguments"
Y. Grandati
Phys. Lett. A, 378 (2014) 1755. -
"Biofilaments as annealed semi-flexible copolymers"
J. Fierling, H. Mohrbach, I. M. Kulić, N.-K. Lee et A. Johner
EPL, 106 (2014) 58006. -
"Extended Krein-Adler theorem for the translationally shape invariant potentials"
D. Gomez-Ullate, Y. Grandati et R. Milson
J. Math. Phys., 55 (2014) 043510. Cf. aussi arXiv:1309.3756. -
"Confotronic dynamics of tubular filaments"
O. Kahraman, H. Mohrbach, M. M. Müller et I. M. Kulić
Soft Matter, 10 (2014) 2836. -
"Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials"
D. Gomez-Ullate, Y. Grandati et R. Milson
J. Phys. A, 47 (2014) 015203.
2013
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"Whirling skirts and rotating cones"
J. Guven, J. A. Hanna et M. M. Müller
NJP, 15 (2013) 113055. Cf. aussi arXiv:1306.2619. -
"Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials"
Y. Grandati et C. Quesne
J. Math. Phys., 54 (2013) 073512. -
"Dipoles in thin sheets"
J. Guven, J. A. Hanna, O. Kahraman et M. M. Müller
Eur. Phys. J. E, 36 (2013) 106. Cf. aussi arXiv:1212.3262. -
"Myotubularin and PtdIns3P remodel the sarcoplasmic reticulum in muscle in vivo"
L. Amoasii et al.
J. Cell Sci., 126 (2013) 1806. -
"Comments on the generalized SUSY QM partnership for the Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials"
Y. Grandati et A. Bérard
J. Eng. Math., 82 (2013) 161.
2012
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"Helices at interfaces"
G.-M. Nam, N.-K. Lee, H. Mohrbach, A. Johner et I. M. Kulic
EPL, 100 (2012) 28001. Cf. aussi arXiv:1207.3218 et le commentaire sur Europhysics News. -
"New rational extensions of solvable potentials with finite bound state spectrum"
Y. Grandati
Phys. Lett. A , 376 (2012) 2866. -
"Fluid membrane vesicles in confinement"
O. Kahraman, N. Stoop et M. M. Müller
NJP, 14 (2012) 095021. -
"Rational extensions of solvable potentials and exceptional orthogonal polynomials"
Y. Grandati
J. Phys.: Conf. Ser., 343 (2012) 012041. -
"Petal shapes of sympetalous flowers: the interplay between growth, geometry and elasticity"
M. Ben Amar, M. M. Müller et M. Trejo
NJP, 14 (2012) 085014. -
"Dirac equation in Magueijo-Smolin approach of the Doubly Special Relativity"
Z. Belhadi, F. Ménas, A. Bérard, P. Gosselin et H. Mohrbach
Int. J. Mod. Phys. A, 27 (2012) 1250031. Cf. aussi arXiv:1106.1302. -
"Solvable rational extensions of translationally shape invariant potentials"
Y. Grandati et A. Bérard
dans Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics; Contemporary Mathematics Series of the American Mathematical Society, 563 (2012) 115. Cf. aussi arXiv:0912.3061. -
"Morphogenesis of membrane invaginations in spherical confinement"
O. Kahraman, N. Stoop et M. M. Müller
EPL, 97 (2012) 68008. Cf. aussi arXiv:1201.2518. -
"On the linear forms of the Schrödinger equation"
Y. Kasri, A. Bérard, Y, Grandati et L. Chetouani
Int. J. Theor. Phys., 51 (2012) 1370. Cf. aussi arXiv:1107.4271. -
"A Solvable Model for Polymorphic Dynamics of Biofilaments"
H. Mohrbach et I. M. Kulic
Phys. Rev. E, 85 (2012) 031903. Cf. aussi arXiv:1110.4955. -
"Multistep DBT and regular rational extensions of the isotonic oscillator"
Y. Grandati
Ann. Phys., 327 (2012) 2411. Cf. aussi arXiv:1108.4503. -
"Cooperative Lattice Dynamics and Anomalous Fluctuations of Microtubules"
H. Mohrbach, A. Johner et I. M. Kulic
Eur. Biophys. J., 41 (2012) 217. Cf. aussi arXiv:1108.4800. -
"Conical instabilities on paper"
J. Guven, M. M. Müller et P. Vázquez-Montejo
J. Phys. A, 45 (2012) 015203. Cf. aussi arXiv:1107.5008.
2011
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"Solvable rational extensions of the Morse and Kepler-Coulomb potentials"
Y. Grandati
J. Math. Phys., 52 (2011) 103505. Cf. aussi arXiv:1103.5023. -
"Constrained Dynamics of an Anomalous g ≠ 2 Relativistic Spinning Particle in Electromagnetic Background"
A. Bérard, S. Ghosh, Y. Grandati, H. Mohrbach et P. Pal
Eur. Phys. J. C, 71 (2011) 1770. Cf. aussi arXiv:1105.4691. -
"Dirac Particles in a Gravitational Field"
P. Gosselin et H. Mohrbach
Eur. Phys. J. C, 71 (2011) 1739. -
"Solvable rational extensions of the isotonic oscillator"
Y. Grandati
Ann. Phys., 326 (2011) 2074. Cf. aussi arXiv:1101.0055. -
"Interface-mediated interactions: Entropic forces of curved membranes"
P. Gosselin, H. Mohrbach et M. M. Müller
Phys. Rev. E, 83 (2011) 051921. Cf. aussi arXiv:1011.1221. -
"Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials"
Y. Grandati et A. Bérard
Phys. Lett. A 375 (2010) 390. Cf. aussi arXiv:1001.0495.
2010
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"Tubulin Bistability and Polymorphic Dynamics of Microtubules "
H. Mohrbach, A. Johner et I.M. Kulic
Phys. Rev. Lett., 105 (2010) 268102. -
"Self-Contact and Instabilities in the Anisotropic Growth of Elastic Membranes"
N. Stoop, F. K. Wittel, M. Ben Amar, M. M. Müller et H. J. Herrmann
Phys. Rev. Lett., 105 (2010) 068101. -
"Appearance of gauge fields and forces beyond the adiabatic approximation"
P. Gosselin et H. Mohrbach
J. Phys. A, 43 (2010) 354025. -
"Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials"
Y. Grandati et A. Bérard
Ann. Phys. 325 (2010) 1235. Cf. aussi arXiv:0910.4810. -
"Cell Model Approach to Membrane Mediated Protein Interactions"
M. M. Müller et M. Deserno
Prog. Theor. Phys. Suppl., 184 (2010) 351. -
"Complex representation of planar motions and conserved quantities of the Kepler and Hooke problems"
Y. Grandati, A. Bérard et H. Mohrbach
J. Nonlinear Math. Phys., 17 (2010) 213. -
"On Peres approach to Fradkin-Bacry-Ruegg-Souriau's perihelion vector"
Y. Grandati, A. Bérard et H. Mohrbach
Cent. Eur. J. Phys., 9 (2010) 88. -
"Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations"
Y. Grandati, A. Bérard et H. Mohrbach
Celest. Mech. Dyn. Astr., 106 (2010) 109.
2009
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"Diagonal representation for a generic matrix valued quantum Hamiltonian"
P. Gosselin et H. Mohrbach
Eur. Phys J. C, 64 (2009) 495. -
"Hamiltonian formulation of surfaces with constant Gaussian curvature"
M. Trejo, M. Ben Amar et M. M. Müller
J. Phys. A, 42 (2009) 425204. -
"Botanical ratchets"
I. M. Kulic, M. Mani, H. Mohrbach, R. Thaokar et L. Mahadevan
Proc. Roy. Soc. B, 276 (2009) 2243. -
"Local Membrane Mechanics of Pore-Spanning Bilayers"
I. Mey, M. Stephan, E. K. Schmitt, M. M. Müller, M. Ben Amar, C. Steinem et A. Janshoff
J. Am. Chem. Soc., 131 (2009) 7031. -
"Berry curvature in graphene: a new approach"
P. Gosselin, A. Bérard, H. Mohrbach et S. Ghosh
Eur. Phys. J. C, 59 (2009) 883. -
"Elasticity Mapping of Pore-Suspending Native Cell Membranes"
B. Lorenz et al.
Small, 5 (2009) 832. -
"Duality properties of Gorringe-Leach equations"
Y. Grandati, A. Bérard et H. Mohrbach
Celest. Mech. Dyn. Astr., 103 (2009) 133.