Approximate modeling of spherical membranes

@article{Koskinen2010ApproximateMO,
  title={Approximate modeling of spherical membranes},
  author={Pekka Koskinen and Oleg O. Kit},
  journal={Physical Review B},
  year={2010},
  volume={82},
  pages={235420}
}
Spherical symmetry is ubiquitous in nature. It's therefore unfortunate that spherical system simulations are so hard, and require complete spheres with millions of interacting particles. Here we introduce an approach to model spherical systems, using revised periodic boundary conditions adapted to spherical symmetry. Method reduces computational costs by orders of magnitude, and is applicable for both solid and liquid membranes, provided the curvature is sufficiently small. We demonstrate the… 

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INTRODUCTION AND ORIENTATION 1. THE FOUNDATIONS OF QUANTUM MECHANICS Operators in quantum mechanics The postulates of quantum mechanics The specification of evolution of states Matrices in quantum