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A method is proposed to exactly diagonalize the Hamiltonian of a N-layer quantum dot containing a single electron in each dot in arbitrary magnetic fields.

摘要用精确方法研究了处于外磁场中N层单电子垂直耦合量子点系了基态跃迁随外磁场关系。

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TED-Ed(视频版)

So a Hamiltonian path on an even-sided grid that starts on black will have to end on white.

因此,从黑色开始的偶边网格上的哈须以白色结束。

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TED-Ed(视频版)

This puzzle is related to the Hamiltonian path problem named after the 19th century Irish mathematician William Rowan Hamilton.

这个谜题与以 19 世纪爱尔兰数学家 William Rowan Hamilton 命名的哈问题有关。

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TED-Ed(视频版)

The challenge of the path problem is to find whether a given graph has a Hamiltonian path.

问题的挑战是找出给定的图是否具有哈

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TED-Ed(视频版)

In any grid with that configuration, a Hamiltonian path that starts and ends in opposite corners is impossible.

在具有该配置的任何网格中,一条在对角开始和结束的哈是不可能的。

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TED-Ed(视频版)

This puzzle adds a twist to the Hamiltonian path problem in that you have to start and end at specific points.

这个难题为哈问题增加了一个转折点,因为您须在特定点开始和结束。

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TED-Ed(视频版)

But before you waste a ton of graph paper, you should know that a true Hamiltonian path isn't possible with these end points.

但是在你浪费大量方格纸之前,你应该知道真正的哈对于这些端点是不可能的。

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TED-Ed(视频版)

However, in any grid with even numbered sides, opposite corners are the same color, so it's impossible to start and end a Hamiltonian path on opposite corners.

然而, 在任何具有偶数边的网格中,对角是相同的颜色,因此不可能在对角上开始和结束哈

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