REMARKS ON THE GROUND STATE ENERGY OF THE SPIN-BOSON MODEL: AN APPLICATION OF THE WIGNER–WEISSKOPF MODEL
2001 ◽
Vol 13
(02)
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pp. 221-251
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Keyword(s):
For the ground state energy of the spin-boson (SB) model, we give a new upper bound in the case with infrared singularity condition (i.e. without infrared cutoff), and a new lower bound in the case of massless bosons with infrared regularity condition. We first investigate spectral properties of the Wigner–Weisskopf (WW) model, and apply them to SB model to achieve our purpose. Then, as an extra result of the spectral analysis for WW model, we show that a non-perturbative ground state appears, and its ground state energy is so low that we cannot conjecture it by using the regular perturbation theory.
2013 ◽
Vol 7
(1)
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pp. 46
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Keyword(s):
Keyword(s):
1981 ◽
pp. 164-168
Keyword(s):
1999 ◽
Vol 162
(1)
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pp. 178-218
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1993 ◽
Vol 08
(04)
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pp. 341-348
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Keyword(s):
1997 ◽
Vol 66
(12)
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pp. 3693-3695
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Keyword(s):
2012 ◽
Vol 21
(08)
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pp. 1250072
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1967 ◽
Vol 47
(12)
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pp. 5343-5352
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2011 ◽
Vol 12
(7)
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pp. 1321-1347
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1988 ◽
Vol 5
(1)
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pp. 309-315
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