نتایج جستجو برای: splitting field

تعداد نتایج: 818101  

2016
NIKITA A. KARPENKO N. A. KARPENKO

We show that an orthogonal involution of a central division algebra D (over a field of characteristic not 2) remains anisotropic over the generic splitting field of D. We also give a couple of other applications of the same technique.

Journal: :Physical review letters 2011
M P Ledbetter T Theis J W Blanchard H Ring P Ganssle S Appelt B Blümich A Pines D Budker

We investigate nuclear magnetic resonance (NMR) in near zero field, where the Zeeman interaction can be treated as a perturbation to the electron mediated scalar interaction (J coupling). This is in stark contrast to the high-field case, where heteronuclear J couplings are normally treated as a small perturbation. We show that the presence of very small magnetic fields results in splitting of t...

2014
Stewart E. Barnes Jun'ichi Ieda Sadamichi Maekawa

The control of the magnetism of ultra-thin ferromagnetic layers using an electric field, rather than a current, has many potential technologically important applications. It is usually insisted that such control occurs via an electric field induced surface charge doping that modifies the magnetic anisotropy. However, it remains the case that a number of key experiments cannot be understood with...

2009
NIKITA A. KARPENKO

We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic 6= 2 remains non-hyperbolic over some splitting field of the algebra.

2009
NIKITA A. KARPENKO N. KARPENKO

We show that a non-hyperbolic hermitian form over a biquaternion algebra over a field of characteristic 6= 2 remains non-hyperbolic over a generic splitting field of the algebra.

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