scholarly journals Stochastic Electrodynamics: Renormalized Noise in the Hydrogen Ground-State Problem

2020 ◽  
Vol 8 ◽  
Author(s):  
Theo M. Nieuwenhuizen
Keyword(s):  
Ground State ◽  
State Problem ◽  
Stochastic Electrodynamics

scholarly journals The virial theorem and the ground state problem in polaron theory

2012 ◽  
Vol 114 (5) ◽  
pp. 867-869 ◽  
Author(s):  
N. I. Kashirina ◽  
V. D. Lakhno ◽  
A. V. Tulub
Keyword(s):  
Ground State ◽  
Virial Theorem ◽  
State Problem ◽  
Polaron Theory

Ground State Analysis on the Fcc Lattice With Four Pair Interactions

1992 ◽  
Vol 291 ◽  
Author(s):  
Gerardo D. Garbulsky ◽  
Patrick D. Tepesch ◽  
Gerbrand Ceder
Keyword(s):  
Ground State ◽  
Nearest Neighbor ◽  
Binary Alloys ◽  
Neighbor Distance ◽  
State Problem ◽  
Fcc Lattice ◽  
Order Of Magnitude ◽  
Nearest Neighbor Distance ◽  
Ground State Structures ◽  
Pair Interactions

ABSTRACTWe have partially solved the ground state problem of binary alloys on the fcc lattice with pair interactions up to the fourth nearest neighbor distance. Our results extend the study presented by Kanamori and Kakehashi [1], releasing the constraint they imposed on the nearest neighbor correlation. The solution we present increases the number of possible ground state structures by an order of magnitude with respect to previous results. We have applied both the polyhedron and the enumeration method. The latter proved more powerful when including interactions beyond the second nearest neighbor distance.

scholarly journals Mixed Heisenberg chains: I. The ground-state problem

1997 ◽  
Vol 9 (42) ◽  
pp. 9031-9042 ◽  
Author(s):  
Harald Niggemann ◽  
Gennadi Uimin ◽  
Johannes Zittartz
Keyword(s):  
Ground State ◽  
State Problem ◽  
Heisenberg Chains

scholarly journals Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 59 ◽  
Author(s):  
Theodorus Maria Nieuwenhuizen
Keyword(s):  
Harmonic Oscillator ◽  
Ground State ◽  
Average Rate ◽  
Average Energy ◽  
Initial Time ◽  
Stochastic Electrodynamics ◽  
Stochastic Force ◽  
Resonance Effects ◽  
Specific Position ◽  
Exact Shape

In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects. After introducing a cut-off in the stochastic power spectrum and regularizing the stochastic force, all relevant integrals are dominated by resonance effects only and results are derived that stem from those in the quantum ground state. For an orbit with specific position and momentum at an initial time, the average energy and the average rate of energy change are evaluated, which stem with each other. Resonance effects are highlighted along the way. An outlook on the hydrogen ground state problem is provided.

Exact Numerical Solution of a Three-Body Ground-State Problem

1962 ◽  
Vol 125 (5) ◽  
pp. 1754-1758 ◽  
Author(s):  
George A. Baker ◽  
J. L. Gammel ◽  
B. J. Hill ◽  
John G. Wills
Keyword(s):  
Numerical Solution ◽  
Ground State ◽  
State Problem ◽  
Exact Numerical Solution ◽  
Three Body
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