Publications
2016
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"SWKB and proper quantization conditions for translationally shape-invariant potentials"
K. Mahdi, Y. Kasri, Y. Grandati, and A. Bérard
EPJ Plus, 131 (2016) 259. -
"Wave-particle duality coming from a bead oscillator in an elastic medium, theoretical study and quantum similarities"
C. Borghesi
See arXiv:1609.09260v3 (in English) and arXiv:1609.09260v2 (in French). -
"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 and 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, and A. Johner
Polymers, 8 (2016) 286. -
"Squeezed helical elastica"
L. Bouzar, M. M. Müller, P. Gosselin, I. M. Kulić, and H. Mohrbach
Eur. Phys. J. E, 39 (2016) 114. See alsoarXiv:1606.03611. -
"Faddeev-Jackiw Quantization of Non-Autonomous Singular Systems"
Z. Belhadi, A. Bérard, and H. Mohrbach
Phys. Lett. A, 380 (2016) 3355. See also arXiv:1603.08407. -
"Self-Assembly of Magnetic Spheres in Strong Homogeneous Magnetic Field"
R. Messina and I. Stanković
See arXiv:1602.00861. -
"How Bio-Filaments Twist Membranes"
J. Fierling, A. Johner, I. M. Kulić, H. Mohrbach, and M. M. Müller
Soft Matter, 12 (2016) 5747. -
"Structure and cohesive energy of dipolar helices"
I. Stanković, M. Dašić, and R. Messina
Soft Matter, 12 (2016) 3056. -
"On complex, curved trajectories in microtubule gliding"
P. Gosselin, H. Mohrbach, I. M. Kulić and 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, and I. M. Kulić
Eur. Phys. J. E, 38 (2015) 129. -
"Toroidal membrane vesicles in spherical confinement"
L. Bouzar, F. Menas, and 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 and C. Quesne
J. Math. Phys., 56 (2015) 062103. -
"Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials"
Y. Grandati and C. Quesne
SIGMA, 11 (2015) 061. See also arXiv:1503.07747. -
"Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate"
N. Stoop and M. M. Müller
Int. J. Non-Linear Mech., 75 (2015) 115. See also arXiv:1503.05030. -
"Why Microtubules Run in Circles: Mechanical Hysteresis of the Tubulin Lattice"
F. Ziebert, H. Mohrbach, and I. M. Kulić
Phys. Rev. Lett., 114 (2015) 148101. See also arXiv:1405.4469.
2014
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"Exceptional orthogonal polynomials and generalized Schur polynomials"
Y. Grandati
J. Math. Phys., 55 (2014) 083509. See also arXiv:1311.4530. -
"Quantization of soluble classical constrained systems"
Z. Belhadi, F. Ménas, A. Bérard, and H. Mohrbach,
Ann. Phys., 351 (2014) 426. See also arXiv:1406.3847. -
"Crunching Biofilament Rings"
J. Fierling, M. M. Müller, H. Mohrbach, A. Johner, and I. M. Kulić
EPL, 107 (2014) 68002. See also 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, and A. Johner
EPL, 106 (2014) 58006. -
"Extended Krein-Adler theorem for the translationally shape invariant potentials"
D. Gomez-Ullate, Y. Grandati, and R. Milson
J. Math. Phys., 55 (2014) 043510. See also arXiv:1309.3756. -
"Confotronic dynamics of tubular filaments"
O. Kahraman, H. Mohrbach, M. M. Müller, and I. M. Kulić
Soft Matter, 10 (2014) 2836. See also arXiv:1312.3106. -
"Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials"
D. Gomez-Ullate, Y. Grandati, and R. Milson
J. Phys. A, 47 (2014) 015203.
2013
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"Whirling skirts and rotating cones"
J. Guven, J. A. Hanna, and M. M. Müller
NJP, 15 (2013) 113055. See also arXiv:1306.2619. -
"Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials"
Y. Grandati and C. Quesne
J. Math. Phys., 54 (2013) 073512. -
"Dipoles in thin sheets"
J. Guven, J. A. Hanna, O. Kahraman, and M. M. Müller
Eur. Phys. J. E, 36 (2013) 106. See also 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 and 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, and I. M. Kulic
EPL, 100 (2012) 28001. See also arXiv:1207.3218 and the comment at 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 and 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, and 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, and H. Mohrbach
Int. J. Mod. Phys. A, 27 (2012) 1250031. See also arXiv:1106.1302. -
"Solvable rational extensions of translationally shape invariant potentials"
Y. Grandati and A. Bérard
in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics; Contemporary Mathematics Series of the American Mathematical Society, 563 (2012) 115. See also arXiv:0912.3061. -
"Morphogenesis of membrane invaginations in spherical confinement"
O. Kahraman, N. Stoop, and M. M. Müller
EPL, 97 (2012) 68008. See also arXiv:1201.2518. -
"On the linear forms of the Schrödinger equation"
Y. Kasri, A. Bérard, Y, Grandati, and L. Chetouani
Int. J. Theor. Phys., 51 (2012) 1370. See also arXiv:1107.4271. -
"A Solvable Model for Polymorphic Dynamics of Biofilaments"
H. Mohrbach and I. M. Kulic
Phys. Rev. E, 85 (2012) 031903. See also arXiv:1110.4955. -
"Multistep DBT and regular rational extensions of the isotonic oscillator"
Y. Grandati
Ann. Phys., 327 (2012) 2411. See also arXiv:1108.4503. -
"Cooperative Lattice Dynamics and Anomalous Fluctuations of Microtubules"
H. Mohrbach, A. Johner, and I. M. Kulic
Eur. Biophys. J., 41 (2012) 217. See also arXiv:1108.4800. -
"Conical instabilities on paper"
J. Guven, M. M. Müller, and P. Vázquez-Montejo
J. Phys. A, 45 (2012) 015203. See also 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. See also arXiv:1103.5023. -
"Constrained Dynamics of an Anomalous g ≠ 2 Relativistic Spinning Particle in Electromagnetic Background"
A. Bérard, S. Ghosh, Y. Grandati, H. Mohrbach, and P. Pal
Eur. Phys. J. C, 71 (2011) 1770. See also arXiv:1105.4691. -
"Dirac Particles in a Gravitational Field"
P. Gosselin and H. Mohrbach
Eur. Phys. J. C, 71 (2011) 1739. -
"Solvable rational extensions of the isotonic oscillator"
Y. Grandati
Ann. Phys., 326 (2011) 2074. See also arXiv:1101.0055. -
"Interface-mediated interactions: Entropic forces of curved membranes"
P. Gosselin, H. Mohrbach, and M. M. Müller
Phys. Rev. E, 83 (2011) 051921. See also arXiv:1011.1221. -
"Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials"
Y. Grandati and A. Bérard
Phys. Lett. A 375 (2010) 390. See also arXiv:1001.0495.
2010
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"Tubulin Bistability and Polymorphic Dynamics of Microtubules "
H. Mohrbach, A. Johner, and 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, and H. J. Herrmann
Phys. Rev. Lett., 105 (2010) 068101. -
"Appearance of gauge fields and forces beyond the adiabatic approximation"
P. Gosselin and H. Mohrbach
J. Phys. A, 43 (2010) 354025. -
"Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials"
Y. Grandati and A. Bérard
Ann. Phys. 325 (2010) 1235. See also arXiv:0910.4810. -
"Cell Model Approach to Membrane Mediated Protein Interactions"
M. M. Müller and 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, and H. Mohrbach
J. Nonlinear Math. Phys., 17 (2010) 213. -
"On Peres approach to Fradkin-Bacry-Ruegg-Souriau's perihelion vector"
Y. Grandati, A. Bérard, and H. Mohrbach
Cent. Eur. J. Phys., 9 (2010) 88. -
"Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations"
Y. Grandati, A. Bérard, and 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 and H. Mohrbach
Eur. Phys J. C, 64 (2009) 495. -
"Hamiltonian formulation of surfaces with constant Gaussian curvature"
M. Trejo, M. Ben Amar, and M. M. Müller
J. Phys. A, 42 (2009) 425204. -
"Botanical ratchets"
I. M. Kulic, M. Mani, H. Mohrbach, R. Thaokar, and 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, and A. Janshoff
J. Am. Chem. Soc., 131 (2009) 7031. -
"Berry curvature in graphene: a new approach"
P. Gosselin, A. Bérard, H. Mohrbach, and 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, and H. Mohrbach
Celest. Mech. Dyn. Astr., 103 (2009) 133.