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arXiv 1504.04882quant-ph
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无射频磁场的自由旋转运动和NMR成像

Motion of free spins and NMR imaging without a radio-frequency magnetic field

Kees van Schenk Brill, Jassem Lahfadi, Tarek Khalil, Daniel Grucker

摘要:

本文用自旋独立的~ $\tfrac 12$的量子处理解释了无射频磁场的核磁共振成像。总磁化强度由它们各自的波函数确定。理论处理,量子力学的基本公理和明确解决的薛定谔方程的动能的一部分,它给出了自由自旋的运动的基础上,被召回。它解释了自旋噪声谱的相移与其振幅相比,传统的NMR谱。此外,它还解释了在没有RF脉冲的情况下获得的NMR图像的相对良好的信噪比。这一推导对于新的磁共振成像序列或核磁共振量子计算的发展都是有帮助的。

英文摘要:

NMR imaging without any radio-frequency magnetic field is explained by a quantum treatment of independent spin~$\tfrac 12$. The total magnetization is determined by means of their individual wave function. The theoretical treatment, based on fundamental axioms of quantum mechanics and solving explicitly the Schrödinger equation with the kinetic energy part which gives the motion of free spins, is recalled. It explains the phase shift of the spin noise spectrum with its amplitude compared to the conventional NMR spectrum. Moreover it explains also the relatively good signal to noise ratio of NMR images obtained without a RF pulse. This derivation should be helpful for new magnetic resonance imaging sequences or for developing quantum computing by NMR.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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