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Hamiltonian equations on $\mathbb{T}^\infty$ and almost-periodic solutions
The radially vibrating spherical quantum billiard
1. | Center for Applied Mathematics and Schools of Electrical Engineering and Applied Physica, Cornell University, Ithaca, NY 14850, United States |
2. | Center for Applied Mathematics and Schools of Electrical Engineering and Applied Physics, Cornell University, Ithaca, NY 14850, United States |
[1] |
Sen Zhang, Guo Zhou, Yongquan Zhou, Qifang Luo. Quantum-inspired satin bowerbird algorithm with Bloch spherical search for constrained structural optimization. Journal of Industrial and Management Optimization, 2021, 17 (6) : 3509-3523. doi: 10.3934/jimo.2020130 |
[2] |
Nicolas Bedaride. Entropy of polyhedral billiard. Discrete and Continuous Dynamical Systems, 2007, 19 (1) : 89-102. doi: 10.3934/dcds.2007.19.89 |
[3] |
Pavel Bachurin, Konstantin Khanin, Jens Marklof, Alexander Plakhov. Perfect retroreflectors and billiard dynamics. Journal of Modern Dynamics, 2011, 5 (1) : 33-48. doi: 10.3934/jmd.2011.5.33 |
[4] |
Quanyi Liang, Kairong Liu, Gang Meng, Zhikun She. Minimization of the lowest eigenvalue for a vibrating beam. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 2079-2092. doi: 10.3934/dcds.2018085 |
[5] |
David Cowan. A billiard model for a gas of particles with rotation. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 101-109. doi: 10.3934/dcds.2008.22.101 |
[6] |
David Cowan. Rigid particle systems and their billiard models. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 111-130. doi: 10.3934/dcds.2008.22.111 |
[7] |
Julián López-Gómez. Uniqueness of radially symmetric large solutions. Conference Publications, 2007, 2007 (Special) : 677-686. doi: 10.3934/proc.2007.2007.677 |
[8] |
Jamel Ben Amara, Emna Beldi. Simultaneous controllability of two vibrating strings with variable coefficients. Evolution Equations and Control Theory, 2019, 8 (4) : 687-694. doi: 10.3934/eect.2019032 |
[9] |
Alexander Khapalov. Controllability properties of a vibrating string with variable axial load. Discrete and Continuous Dynamical Systems, 2004, 11 (2&3) : 311-324. doi: 10.3934/dcds.2004.11.311 |
[10] |
Stan Chiriţă. Spatial behavior in the vibrating thermoviscoelastic porous materials. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 2027-2038. doi: 10.3934/dcdsb.2014.19.2027 |
[11] |
Martin Gugat, Mario Sigalotti. Stars of vibrating strings: Switching boundary feedback stabilization. Networks and Heterogeneous Media, 2010, 5 (2) : 299-314. doi: 10.3934/nhm.2010.5.299 |
[12] |
Alexander Barg, Oleg R. Musin. Codes in spherical caps. Advances in Mathematics of Communications, 2007, 1 (1) : 131-149. doi: 10.3934/amc.2007.1.131 |
[13] |
Susanna V. Haziot. On the spherical geopotential approximation for Saturn. Communications on Pure and Applied Analysis, , () : -. doi: 10.3934/cpaa.2022035 |
[14] |
Dmitry Treschev. A locally integrable multi-dimensional billiard system. Discrete and Continuous Dynamical Systems, 2017, 37 (10) : 5271-5284. doi: 10.3934/dcds.2017228 |
[15] |
Alexey Glutsyuk, Yury Kudryashov. No planar billiard possesses an open set of quadrilateral trajectories. Journal of Modern Dynamics, 2012, 6 (3) : 287-326. doi: 10.3934/jmd.2012.6.287 |
[16] |
Jianlu Zhang. Suspension of the billiard maps in the Lazutkin's coordinate. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 2227-2242. doi: 10.3934/dcds.2017096 |
[17] |
Yang Shen, Jiazhong Yang. Hearing the shape of right triangle billiard tables. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 5537-5549. doi: 10.3934/dcds.2021087 |
[18] |
Thomas I. Vogel. Comments on radially symmetric liquid bridges with inflected profiles. Conference Publications, 2005, 2005 (Special) : 862-867. doi: 10.3934/proc.2005.2005.862 |
[19] |
Helmut Kröger. From quantum action to quantum chaos. Conference Publications, 2003, 2003 (Special) : 492-500. doi: 10.3934/proc.2003.2003.492 |
[20] |
Alberto Ibort, Alberto López-Yela. Quantum tomography and the quantum Radon transform. Inverse Problems and Imaging, 2021, 15 (5) : 893-928. doi: 10.3934/ipi.2021021 |
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