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Journal ArticleDOI

Adiabatic rotational splittings and Berry's phase in nuclear quadrupole resonance.

R. Tycko
- 01 Jun 1987 - 
- Vol. 58, Iss: 22, pp 2281-2284
TLDR
Sample rotation is shown to induce frequency splittings in nuclear-quadrupole-resonance spectra, interpreted both as a manifestation of Berry's phase and as a result of a fictitious magnetic field, associated with a rotating-frame transformation.
Abstract
Sample rotation is shown to induce frequency splittings in nuclear-quadrupole-resonance spectra. The splittings are interpreted both as a manifestation of Berry's phase, associated with an adiabatically changing Hamiltonian, and as a result of a fictitious magnetic field, associated with a rotating-frame transformation. Real and fictitious fields are contrasted. Related effects are predicted in other magnetic resonance experiments that involve sample rotation.

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Journal ArticleDOI

Non-trivial Berry phase for an asymmetric one-dimensional potential in the free electron limit

TL;DR: In this article, a non-trivial Berry phase for a finite potential, even in the delocalized-electron limit, was found for a one-dimensional, periodic sawtooth potential.
Journal ArticleDOI

Semiclassical quantization condition for magnetic energy levels of electrons in metals with band-contact lines

TL;DR: In this paper, the authors refine the well-known quantization condition for magnetic energy levels of a semiclassical electron, which results in the energy shift of the levels when in k space the closed electron orbit links to the band-contact line (i.e., surrounds it).
Journal ArticleDOI

Floquet states and geometrical phase of a multi-level system in cyclic evolution

TL;DR: In this paper, the electronic states of a mesoscopic system whose Hamiltonian has a complicated static multi-level energy structure and undergoes periodic evolution in time were derived by using the Floquet theory.
Book ChapterDOI

Magnetic resonance with gas-phase atoms

TL;DR: In this article, the effects of interaction of electromagnetic fields, with atoms, that causes a shift of the atomic levels and details magnetic resonance of the sub-levels are discussed, and different optical techniques used to detect the atomic sub-level coherence and to optically pump the atomic subsets.
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