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ON NONEXISTENCE OF GROUND STATES

The Quarterly Journal of Mathematics, 1988
Let y(t) be a solution of the equation \(q(t,y'))'+a(t)f(y)=0\). In this paper, questions about the qualitative behaviour, such as the positivity, or the oscillatory character, of y on a half-line (T,\(\infty)\) are discussed in relation to structure hypotheses on the functions q,a and f. Particular examples are: \(q(t,v)=| v|^{m-2}v\) and \(q(t,v)=v(1+
Atkinson, F. V., Peletier, L. A.
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The ground state of pluripotency

Biochemical Society Transactions, 2010
Pluripotency is defined as the capacity of individual cells to initiate all lineages of the mature organism in response to signals from the embryo or cell culture environment. A pluripotent cell has no predetermined programme; it is a blank slate. This is the foundation of mammalian development and of ES (embryonic stem) cell biology.
Wray, Jason   +2 more
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Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+

Journal of Mathematical Physics, 1981
The asymptotic behavior of ground states of two-electron atoms is investigated. Suppose ψ(x1,x2) is the ground state of helium, ρ(x1) = ℱψ2(x1,x2) dx2 the corresponding electron density, and Φ(x2) the ground state of He+. We show that in the L2(dx2)-sense, lim‖x1‖→∞ ψ(x1,x2)[ρ(x1)]−1/2 = Φ(x2), and that ψ[ρ(x1)]−1/2 solves for large ‖x1‖ the ...
Combes, J. M.   +2 more
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Nuclear Ground State Correlations

Moscow University Physics Bulletin, 2023
The paper discusses ground state correlations (GSC) in nuclei, which are especially clearly manifested when using the formalism of quantum Green’s functions (FG) and Feynman diagrams. In addition to one-particleone-hole GSC, which appear in the well known random phase approximation method (RPA), there exist and give a noticeable quantitative ...
Kamerdzhiev S.P., Shitov M.I.
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Ground state of the Kondo model

Physical Review B, 1985
The single-impurity Kondo problem is investigated with the use of the nonperturbative Lanczos (tridiagonalization) method. We are able to obtain an explicit expression for the ground-state energy in terms of the Kondo coupling constant J. The method places no restrictions on the range of J.
, Mancini, , Mattis
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