Periodic Potentials with Minimal Energy Bands
نویسندگان
چکیده
منابع مشابه
Conduction bands in classical periodic potentials
The energy of a quantum particle cannot be determined exactly unless there is an infinite amount of time in which to perform the measurement. This paper considers the possibility that ∆E, the uncertainty in the energy, may be complex. To understand the effect of a particle having a complex energy, the behavior of a classical particle in a one-dimensional periodic potential V (x) = − cos(x) is s...
متن کاملSupersymmetry Breaking with Periodic Potentials
We discuss supersymmetry breaking in some supersymmetric quantum mechanical models with periodic potentials. The sensitivity to the parameters appearing in the superpotential is more acute than in conventional nonperiodic models. We present some simple elliptic models to illustrate these points. Supersymmetry (SUSY) breaking is an outstanding problem that is directly relevant for the applicatio...
متن کاملBerry curvature and energy bands of graphene
In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...
متن کاملBerry curvature and energy bands of graphene
In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...
متن کاملMinimal potentials with very many minima
We demonstrate, by construction, that simple renormalizable matrix potentials with S(N), as opposed to O(N), symmetry can exhibit an exponentially large number of inequivalent deep local minima.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.2307/2159784