scholarly journals Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems

2021 ◽  
Author(s):  
Christian Gogolin ◽  
Gian-Luca Anselmetti ◽  
David Wierichs ◽  
Robert Michael Parrish
Keyword(s):  
Quantum Number ◽  
Fermionic Systems

scholarly journals Combined Mean-Field and Semiclassical Limits of Large Fermionic Systems

2021 ◽  
Vol 182 (2) ◽  
Author(s):  
Li Chen ◽  
Jinyeop Lee ◽  
Matthew Liew
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mean Field ◽  
Weak Limit ◽  
Weak Compactness ◽  
Three Dimensions ◽  
Uniform Estimates ◽  
Fermionic Systems ◽  
Semiclassical Limits ◽  
Semiclassical Regime

AbstractWe study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale $$\hbar = N^{-1/3}$$ ħ = N - 1 / 3 in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schrödinger equation into a BBGKY type of hierarchy for the k particle Husimi measure. Further estimates are derived to obtain the weak compactness of the Husimi measure, and in addition uniform estimates for the remainder terms in the hierarchy are derived in order to show that in the semiclassical regime the weak limit of the Husimi measure is exactly the solution of the Vlasov equation.

A micro canonical method for fermionic systems

1984 ◽  
Vol 418 ◽  
pp. 491-498 ◽  
Author(s):  
J. Polonyi ◽  
H.W. Wyld
Keyword(s):  
Fermionic Systems

scholarly journals Isolated core excitation of high-orbital-quantum-number Rydberg states of ytterbium

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Henri Lehec ◽  
Xin Hua ◽  
Pierre Pillet ◽  
Patrick Cheinet
Keyword(s):  
Quantum Number ◽  
Rydberg States ◽  
Core Excitation ◽  
Orbital Quantum Number

scholarly journals Dirac Equation under Scalar and Vector Generalized Isotonic Oscillators and Cornell Tensor Interaction

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Tensor Interaction ◽  
Cornell Potential ◽  
Ansatz Approach ◽  
Potential Parameters ◽  
Arbitrary Quantum

Spin and pseudospin symmetries of Dirac equation are solved under scalar and vector generalized isotonic oscillators and Cornell potential as a tensor interaction for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.

scholarly journals Fermionic systems with charge correlations on the Bethe lattice

2007 ◽  
Vol 460-462 ◽  
pp. 1053-1054
Author(s):  
Ferdinando Mancini ◽  
Adele Naddeo
Keyword(s):  
Bethe Lattice ◽  
Charge Correlations ◽  
Fermionic Systems

scholarly journals Probability backflow and a new dimensionless quantum number

1994 ◽  
Vol 27 (6) ◽  
pp. 2197-2211 ◽  
Author(s):  
A J Bracken ◽  
G F Melloy
Keyword(s):  
Quantum Number

scholarly journals Generalized invariants and quantum evolution of open fermionic systems

2000 ◽  
Vol 272 (1-2) ◽  
pp. 46-52 ◽  
Author(s):  
S.P Kim ◽  
A.E Santana ◽  
F.C Khanna
Keyword(s):  
Quantum Evolution ◽  
Fermionic Systems

scholarly journals Exact and asymptotic local virial theorems for finite fermionic systems

2010 ◽  
Vol 43 (25) ◽  
pp. 255204 ◽  
Author(s):  
M Brack ◽  
A Koch ◽  
M V N Murthy ◽  
J Roccia
Keyword(s):  
Fermionic Systems

A quasi-classical trajectory study of the reagent initial rotation quantum state effect on the reaction He + T2+ → HeT+ + T using an improved ab initio potential energy surface

2012 ◽  
Vol 90 (2) ◽  
pp. 230-236 ◽  
Author(s):  
Ningjiu Zhao ◽  
Yufang Liu
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Quantum Number ◽  
Relative Velocity ◽  
Energy Surface ◽  
Rotational Quantum Number ◽  
Chem Phys ◽  
Classical Trajectory ◽  
Positive Direction

In this work, we employed the quasi-classical trajectory (QCT) method to study the vector correlations and the influence of the reagent initial rotational quantum number j for the reaction He + T2+ (v = 0, j = 0–3) → HeT+ + T on a new potential energy surface (PES). The PES was improved by Aquilanti co-workers (Chem. Phys. Lett. 2009. 469: 26–30). The polarization-dependent differential cross sections (PDDCSs) and the distributions of P(θr), P([Formula: see text]r), and P(θr, [Formula: see text]r) are presented in this work. The plots of the PDDCSs provide us with abundant information about the distribution of the product angular momentum polarization. The P(θr) is used to describe the correlation between k (the relative velocity of the reagent) and j′ (the product rotational angular momentum). The distribution of dihedral angle P([Formula: see text]r) shows the k–k′–j′ (k′ refers to the relative velocity of the product) correlation. The PDDCS calculations illustrate that the product of this reaction is mainly backward scatter and it has the strongest polarization in the backward and sideways scattering directions. At the same time, the results of the P([Formula: see text]r) demonstrate that the product HeT+ tends to be oriented along the positive direction of the y axis and it tends to rotate right-handedly in planes parallel to the scattering plane. Moreover, the distribution of the P(θr) manifests that the product angular momentum is aligned along different directions relative to k. The direction of the product alignment may be perpendicular, opposite, or parallel to k. Moreover, our calculations are independent of the initial rotational quantum number.

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