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THE GROUND STATE OF THE BOSE GAS
, 2002
"... Now that the low temperature properties of quantummechanical manybody systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 45 decades ago. For systems with repulsive (i.e. positive) interaction potentials the ..."
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Cited by 10 (6 self)
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Now that the low temperature properties of quantummechanical manybody systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 45 decades ago. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous – and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2π � 2 aρ/m where a is the scattering length of the twobody potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N 7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has recently been obtained by us and this work will be presented. The reason behind the mathematical difficulties will be emphasized. A different formula,
THE QUANTUMMECHANICAL MANYBODY PROBLEM: THE BOSE GAS
, 2004
"... Abstract. Now that the low temperature properties of quantummechanical manybody systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4–5 decades ago, and to explore new regimes not treated before. For systems w ..."
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Cited by 6 (0 self)
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Abstract. Now that the low temperature properties of quantummechanical manybody systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4–5 decades ago, and to explore new regimes not treated before. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous – and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2π � 2 aρ/m where a is the scattering length of the twobody potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N 7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has been obtained by us and this work will be presented. The reason behind the mathematical difficulties