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Hinductor Not Memristor—Synthesis
Published in Anirban Bandyopadhyay, Nanobrain, 2020
Hologram generated by metamaterial: advanced computing harvesting metamaterial surface: Quadratic e−π−ϕ control on the resonance, cloaking and holographic projection: We are all aware of phase hologram; it has become a tool for the entertainment industry. Hologram and the time crystal-based GML has an intimate relationship. When a cube is inserted inside a phase sphere, its eight points touch the spherical surface. No image is captured by the device, rather some key points of a geometric shape are morphed as is in a 3D space, phase relationships between different points are preserved, this is exactly what a hologram does, a bit differently (Cathey, 1970). Thus, A geometric-phase shift is added as a “memory” to the angular momentum of light through anisotropic parameter space. A hologram could be made of sound (Xie et al., 2016), light, heat or thermal (Larouche et al., 2012) and magnetic field (Mezrich, 1970). Even water wave cloaks (Yang et al., 2016). Thus, electric, magnetic and mechanical resonances coupled by e−π−ϕ quadratic relationship would exhibit cloaking when necessary and generate holographic projection when necessary. Holograms always have an intimate relationship with the helices and vortices (Huang et al., 2013a, 2013b).
Nonholonomic Behavior in Robotic Systems
Published in Richard M. Murray, Zexiang Li, S. Shankar Sastry, A Mathematical Introduction to Robotic Manipulation, 2017
Richard M. Murray, Zexiang Li, S. Shankar Sastry
Both this chapter and Chapter 8 are slightly more advanced in flavor than the previous chapters and represent some of the recent research in the robotics literature. Nonholonomic behavior also plays a strong role in many problems in geometric mechanics, which we touch on only briefly in the examples and exercises. In classical mechanics, nonholonomic behavior is closely related to the geometric phase associated with a group symmetry in a Hamiltonian or Lagrangian system. A good introduction to these concepts can be found in the lecture notes by Marsden [68].
Non-adiabatic coupling as a frictional force in (He, H, H)+ dynamics and the formation of HeH2 +
Published in Molecular Physics, 2021
Satyam Ravi, Soumya Mukherjee, Bijit Mukherjee, Satrajit Adhikari, Narayanasami Sathyamurthy, Michael Baer
It is important to point out that a quantum mechanical description of the dynamics around conical intersection(s) would include the effect of the geometric phase that arises in a natural fashion. Unfortunately, there does not seem to be any obvious way to include the geometric phase in a classical mechanical description adopted in this study.