The Ground State Energy of the Multi-Polaron in the Strong Coupling Limit
The Ground State Energy of the Multi-Polaron in the Strong Coupling Limit
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DOI：
10.1007/s11005-013-0648-z
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发表时间：
2012-12
影响因子：
1.2
通讯作者：
I. Anapolitanos;B. Landon
中科院分区：
文献类型：
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作者：
I. Anapolitanos;B. Landon
我们考虑了强耦合极限下的FröhlichN极化子哈密顿量，并从下束缚了它的基态能量。特别地，我们的下界证实了Fröhlich极化子的基态能量与相应的Pekar-Tomasevich变分问题的基态能量在强耦合极限下渐近相等。我们推广了在Lieb和Thomas(Commun)中用于证明THEN=1情形中类似结果的算子方法。数学课。太棒了。并应用费曼-卡克公式对任意粒子数N≥[1]获得相同的结果。
We consider the FröhlichN-polaron Hamiltonian in the strong coupling limit and bound its ground state energy from below. In particular, our lower bound confirms that the ground state energy of the Fröhlich polaron and the ground state energy of the associated Pekar–Tomasevich variational problem are asymptotically equal in the strong coupling limit. We generalize the operator approach that was used to prove a similar result in theN= 1 case in Lieb and Thomas (Commun. Math. Phys. 183:511–519, 1997) and apply a Feynman–Kac formula to obtain the same result for an arbitrary particle numberN≥ 1.