Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state, phase shift generator and tunneling

F Fratini; L Safari

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Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state, phase shift generator and tunneling

机译：具有标量线性势的量子力学演化算子：关于演化态，相移发生器和隧穿的讨论

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摘要

We discuss the form of the wave-function of a state subjected to a scalar linear potential, focusing on quantum tunneling. We analyze the phases acquired by the evolved state and show that some are of a pure quantum mechanical origin. We propose a simple experimental scenario to measure one of these phases. We apply the evolution equations to re-analyze the Stern and Gerlach experiment and to demonstrate how to manipulate spin by employing constant electric fields.

机译：我们讨论受标量线性电势作用的状态的波函数形式，重点是量子隧穿。我们分析了由演化态获得的相，并表明其中某些是纯量子力学起源的。我们提出了一个简单的实验方案来衡量这些阶段之一。我们使用演化方程重新分析Stern和Gerlach实验，并演示如何通过采用恒定电场来控制自旋。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2014年第8期|共4页
作者
F Fratini; L Safari;
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正文语种 eng
中图分类物理学;
关键词
evolution operator; linear potential; quantum phase-shift; quantum tunneling; spin manipulation;

机译：演化算子线性势量子相移量子隧穿自旋操纵;

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专利

1. Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state, phase shift generator and tunneling [J] . F Fratini, L Safari Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2014,第8期

机译：具有标量线性势的量子力学演化算子：关于演化态，相移发生器和隧穿的讨论
2. Unitary quantum phase operators for bosons and fermions: A model study on the quantum phases of interacting particles in a symmetric double-well potential [J] . Das B., Ghosal B., Gupta S.D., Journal of Physics, B. Atomic, Molecular and Optical Physics: An Institute of Physics Journal . 2013,第3期

机译：玻色子和费米子的量子相位算子：对称双阱势中相互作用粒子的量子相模型研究
3. Quantum metrology with SU(1,1) coherent states in the presence of nonlinear phase shifts [J] . K. Berrada PHYSICAL REVIEW A . 2013,第1期

机译：存在非线性相移时具有SU（1,1）相干态的量子计量
4. Discussion on Information Theoretic and Simulation Analysis of Linear Shift-invariant Edge Detection Operators [C] . Bo Jiang Visual information processing and communication IV . 2013

机译：线性移不变边缘检测算子的信息理论与仿真分析探讨
5. Direct measurement of the difference of quantum mechanical scattering phase shifts. [D] . Hart, Russell Arnette. 2008

机译：直接测量量子机械散射相移的差异。
6. Determining polarizable force fields with electrostatic potentials from quantum mechanical linear response theory [O] . Hao Wang, Weitao Yang -1

机译：从量子力学线性响应理论确定带静电势的极化力场
7. Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state [O] . Fratini, Filippo, Safari, Laleh 2014

机译：量子力学演化算子存在标量线性潜力：关于进化状态的讨论

Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state, phase shift generator and tunneling

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