Ground state of liquid helium-3: off-shell effects due to non-local potentials

Pramana ◽  
1976 ◽  
Vol 6 (6) ◽  
pp. 373-382
Author(s):  
Y S T Rao ◽  
I Rama Rao
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Shell Effects ◽  
Non Local ◽  
Local Potentials ◽  
Helium 3

Ground State of Liquid Helium-4 and Helium-3

1967 ◽  
Vol 160 (1) ◽  
pp. 208-218 ◽  
Author(s):  
Daniel Schiff ◽  
Loup Verlet
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Helium 4 ◽  
Helium 3

Ground state of liquid helium 3: Momentum space calculations of the two body energy

Pramana ◽  
1975 ◽  
Vol 5 (4) ◽  
pp. 227-237 ◽  
Author(s):  
I Rama Rao ◽  
Y S T Rao
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Momentum Space ◽  
Helium 3 ◽  
Body Energy

Liquid Helium-3: A New Superfluid Suggested

Science ◽  
1973 ◽  
Vol 180 (4087) ◽  
pp. 725-726
Author(s):  
W. D. Metz
Keyword(s):  
Liquid Helium ◽  
Helium 3

scholarly journals Non-local to local transition for ground states of fractional Schrödinger equations on $$\mathbb {R}^N$$

2020 ◽  
Vol 22 (3) ◽  
Author(s):  
Bartosz Bieganowski ◽  
Simone Secchi
Keyword(s):  
Ground State ◽  
Ground States ◽  
Ground State Solution ◽  
State Solution ◽  
Local Problem ◽  
Schrödinger Equations ◽  
Ground State Solutions ◽  
Fractional Schrödinger Equations ◽  
Non Local ◽  
Local Transition

Abstract We consider the nonlinear fractional problem $$\begin{aligned} (-\Delta )^{s} u + V(x) u = f(x,u)&\quad \hbox {in } \mathbb {R}^N \end{aligned}$$ ( - Δ ) s u + V ( x ) u = f ( x , u ) in R N We show that ground state solutions converge (along a subsequence) in $$L^2_{\mathrm {loc}} (\mathbb {R}^N)$$ L loc 2 ( R N ) , under suitable conditions on f and V, to a ground state solution of the local problem as $$s \rightarrow 1^-$$ s → 1 - .

Ground State of Two-Dimensional Liquid Helium

1972 ◽  
Vol 6 (5) ◽  
pp. 1942-1947 ◽  
Author(s):  
Michael D. Miller ◽  
Chia-Wei Woo ◽  
Charles E. Campbell
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Two Dimensional
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