Corpus ID: 119609239

A splitting integrator for the BCS equations of superconductivity

  title={A splitting integrator for the BCS equations of superconductivity},
  author={Jonathan Seyrich},
  journal={arXiv: Superconductivity},
  • Jonathan Seyrich
  • Published 2015
  • Physics, Mathematics
  • arXiv: Superconductivity
  • The BCS equations are the centerpiece of the microscopic description of superconductivity. Their space discretization yields a system of coupled ordinary differential equations. In this work, we come up with fast time evolution schemes based on a splitting approach. One of the schemes only requires basic operations. For the physically important case of the BCS equations for a contact interaction potential, the computational cost of the schemes increases only linearly with the dimension of the… CONTINUE READING

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