Built on

D. K. Frame, Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo , Ph.D. thesis (2019), arXiv:1905.02782
Original
1905
Earlier work this paper cites.
G. B. King, A. E. Lovell, L. Neufcourt, and F. M. Nunes, Phys. Rev. Lett. 122
Original
1905
Earlier work this paper cites.
A. W. Jackura, S. M. Dawid, C. Fernández-Ramírez, V. Mathieu, M. Mikhasenko, A. Pilloni, S. R. Sharpe, and A. P. Szczepaniak, Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
R. Lazauskas and J. Carbonell, Few Body Syst. 60
Original
1908
Earlier work this paper cites.
S. König, A. Ekström, K. Hebeler, D. Lee, and A. Schwenk, Phys. Lett. B 810
Original
1909
Earlier work this paper cites.
X. Zhang, K. M. Nollett, and D. Phillips, J. Phys. G 47
Original
1909
Earlier work this paper cites.
P. G. Breen, C. N. Foley, T. Boekholt, and S. P. Zwart, MNRAS 494
Original
1910
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A. Ekström and G. Hagen, Phys. Rev. Lett. 123
Original
1910
Earlier work this paper cites.
M. Eliyahu, B. Bazak, and N. Barnea, Phys. Rev. C 102
Original
1912
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W. Kohn, Phys. Rev. 74
1948
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L. D. Faddeev, Zh. Eksp. Teor. Fiz. 39
1960
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C. Lovelace, Phys. Rev. 135
1964
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A. Phillips, Phys. Rev. 142
1966
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E. O. Alt, P. Grassberger, and W. Sandhas, Nucl. Phys. B 2
1967
Earlier work this paper cites.
K. M. Watson and J. Nuttall, Topics in Several Particle Dynamics (Holden‐Day, Inc., San Francisco, 1967)
1967
Earlier work this paper cites.
G. Gignoux, A. Laverne, and S. P. Merkuriev, Phys. Rev. Lett. 33
1974
Earlier work this paper cites.
A. W. Thomas, ed., Modern Three Hadron Physics , Vol. 2 (1977) pp. 1–250
1977
Earlier work this paper cites.

Similar

R. Nesbet, Variational methods in electron-atom scattering theory , Physics of atoms and molecules (Plenum Press, 1980)
1980
Cited alongside, same era.
W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer-Verlag, Berlin, 1983)
1983
Cited alongside, same era.
E. Gerjuoy, A. R. P. Rau, and L. Spruch, Rev. Mod. Phys. 55
1983
Cited alongside, same era.
W. C. Rheinboldt, Nonlinear Analysis: Theory, Methods & Applications 21
1993
Cited alongside, same era.
B. Tang, Journal of the American Statistical Association 88
1993
Cited alongside, same era.
W. Gloeckle, H. Witala, D. Huber, H. Kamada, and J. Golak, Phys. Rept. 274
1996
Cited alongside, same era.

Then

A. Deltuva, A. C. Fonseca, and R. Lazauskas, Lect. Notes Phys. 875
Original
2014
Later among the works it cites.
D. Baye, Physics Reports 565
2015
Later among the works it cites.
V. N. Pomerantsev, V. I. Kukulin, O. A. Rubtsova, and S. K. Sakhiev, Computer Physics Communications 204
Original
2016
Later among the works it cites.
P. Descouvemont, Comput. Phys. Commun. 200
Original
2016
Later among the works it cites.
P. Chen, A. Quarteroni, and G. Rozza, SIAM/ASA Journal on Uncertainty Quantification 5
2017
Later among the works it cites.
D. Frame, R. He, I. Ipsen, D. Lee, D. Lee, and E. Rrapaj, Phys. Rev. Lett. 121

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2021

Fast emulation of quantum three-body scattering

Zhang, Xilin, Furnstahl, R. J.

Understand

We develop a class of emulators for solving quantum three-body scattering problems.

They are based on combining the variational method for scattering observables and the recently proposed eigenvector continuation concept.
The emulators are first trained by the exact scattering solutions of the governing Hamiltonian at a small number of points in its parameter space, and then employed to make interpolations and extrapolations in that space.
Through a schematic nuclear-physics model with finite-range two and three-body interactions, we demonstrate the emulators to be extremely accurate and efficient.

Built on

D. K. Frame, Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo , Ph.D. thesis (2019), arXiv:1905.02782
Original
1905
Earlier work this paper cites.
G. B. King, A. E. Lovell, L. Neufcourt, and F. M. Nunes, Phys. Rev. Lett. 122
Original
1905
Earlier work this paper cites.
A. W. Jackura, S. M. Dawid, C. Fernández-Ramírez, V. Mathieu, M. Mikhasenko, A. Pilloni, S. R. Sharpe, and A. P. Szczepaniak, Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
R. Lazauskas and J. Carbonell, Few Body Syst. 60
Original
1908
Earlier work this paper cites.
S. König, A. Ekström, K. Hebeler, D. Lee, and A. Schwenk, Phys. Lett. B 810
Original
1909
Earlier work this paper cites.
X. Zhang, K. M. Nollett, and D. Phillips, J. Phys. G 47
Original
1909
Earlier work this paper cites.
P. G. Breen, C. N. Foley, T. Boekholt, and S. P. Zwart, MNRAS 494
Original
1910
Earlier work this paper cites.
A. Ekström and G. Hagen, Phys. Rev. Lett. 123
Original
1910
Earlier work this paper cites.
M. Eliyahu, B. Bazak, and N. Barnea, Phys. Rev. C 102
Original
1912
Earlier work this paper cites.
W. Kohn, Phys. Rev. 74
1948
Earlier work this paper cites.
L. D. Faddeev, Zh. Eksp. Teor. Fiz. 39
1960
Earlier work this paper cites.
C. Lovelace, Phys. Rev. 135
1964
Earlier work this paper cites.
A. Phillips, Phys. Rev. 142
1966
Earlier work this paper cites.
E. O. Alt, P. Grassberger, and W. Sandhas, Nucl. Phys. B 2
1967
Earlier work this paper cites.
K. M. Watson and J. Nuttall, Topics in Several Particle Dynamics (Holden‐Day, Inc., San Francisco, 1967)
1967
Earlier work this paper cites.
G. Gignoux, A. Laverne, and S. P. Merkuriev, Phys. Rev. Lett. 33
1974
Earlier work this paper cites.
A. W. Thomas, ed., Modern Three Hadron Physics , Vol. 2 (1977) pp. 1–250
1977
Earlier work this paper cites.

Similar

R. Nesbet, Variational methods in electron-atom scattering theory , Physics of atoms and molecules (Plenum Press, 1980)
1980
Cited alongside, same era.
W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer-Verlag, Berlin, 1983)
1983
Cited alongside, same era.
E. Gerjuoy, A. R. P. Rau, and L. Spruch, Rev. Mod. Phys. 55
1983
Cited alongside, same era.
W. C. Rheinboldt, Nonlinear Analysis: Theory, Methods & Applications 21
1993
Cited alongside, same era.
B. Tang, Journal of the American Statistical Association 88
1993
Cited alongside, same era.
W. Gloeckle, H. Witala, D. Huber, H. Kamada, and J. Golak, Phys. Rept. 274
1996
Cited alongside, same era.

Then

A. Deltuva, A. C. Fonseca, and R. Lazauskas, Lect. Notes Phys. 875
Original
2014
Later among the works it cites.
D. Baye, Physics Reports 565
2015
Later among the works it cites.
V. N. Pomerantsev, V. I. Kukulin, O. A. Rubtsova, and S. K. Sakhiev, Computer Physics Communications 204
Original
2016
Later among the works it cites.
P. Descouvemont, Comput. Phys. Commun. 200
Original
2016
Later among the works it cites.
P. Chen, A. Quarteroni, and G. Rozza, SIAM/ASA Journal on Uncertainty Quantification 5
2017
Later among the works it cites.
D. Frame, R. He, I. Ipsen, D. Lee, D. Lee, and E. Rrapaj, Phys. Rev. Lett. 121

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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A. Kievsky, Nucl. Phys. A 624

1997

Cited alongside, same era.

D. J. C. MacKay, in Neural Networks and Machine Learning , NATO ASI Series, Vol. 168, edited by C. M. Bishop (Springer, Berlin, 1998) pp. 133–166

1998

Cited alongside, same era.

E. Nielsen, D. V. Fedorov, A. S. Jensen, and E. Garrido, Phys. Rep. 347

2001

Cited alongside, same era.

K. Hebeler, Phys. Rept. 890

Original

2002

Cited alongside, same era.

X. Zhang, S. R. Stroberg, P. Navrátil, C. Gwak, J. A. Melendez, R. J. Furnstahl, and J. D. Holt, Phys. Rev. Lett. 125

Original

2004

Cited alongside, same era.

C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning , Adaptive computation and machine learning series (University Press Group Limited, Cambridge, MA, 2006)

2006

Cited alongside, same era.

Original

2018

Later among the works it cites.

M. Bogojeski, L. Vogt-Maranto, M. E. Tuckerman, K.-R. Müller, and K. Burke, Nat. Commun. 11

2020

Later among the works it cites.

DLMF, “ NIST Digital Library of Mathematical Functions

2020

Later among the works it cites.

S. Wesolowski, I. Svensson, A. Ekström, C. Forssén, R. J. Furnstahl, J. A. Melendez, and D. R. Phillips, (2021), arXiv:2104.04441 [nucl-th]