Found 33 Documents (Results 1–33)
A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory. (English) Zbl 07844486
Large time well-posedness for a Dirac-Klein-Gordon system. (English) Zbl 1537.35301
Reviewer: Abderrazek Benhassine (Monastir)
A variational and regularization framework for stable strong solutions of nonlinear boundary value problems. (English) Zbl 1511.49008
Existence and multiplicity of the positive normalized solutions to the coupled Hartree-Fock type nonlocal elliptic system. (English) Zbl 1505.35142
Existence and multiplicity of nontrivial solutions of weakly coupled nonlinear Hartree type elliptic system. (English) Zbl 1486.35178
Existence of normalized solutions for the coupled Hartree-Fock type system. (English) Zbl 1525.35106
Separation of scales: dynamical approximations for composite quantum systems. (English) Zbl 1506.81038
MSC:
81Q80
A theoretical investigation of time-dependent Kohn-Sham equations: new proofs. (English) Zbl 1479.35769
Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement. (English) Zbl 1468.35049
Consistency of local density approximations and quantum corrections for time-dependent quantum systems. (English) Zbl 1451.35151
Appl. Anal. 99, No. 15, 2571-2591 (2020); correction ibid. 101, No. 8, 3139 (2022).
Existence of the normalized solutions to the nonlocal elliptic system with partial confinement. (English) Zbl 1416.35121
Investigation of optimal control problems governed by a time-dependent Kohn-Sham model. (English) Zbl 1407.35170
On the dispersion decay for crystals in the linearized Schrödinger-Poisson model. (English) Zbl 1390.82064
A theoretical investigation of time-dependent Kohn-Sham equations. (English) Zbl 1365.35132
SIAM J. Math. Anal. 49, No. 3, 1681-1704 (2017); erratum ibid. 52, No. 1, 1006-1008 (2020).
On the crystal ground state in the Schrödinger-Poisson model with point ions. (English) Zbl 1352.35137
Reviewer: Boris A. Malomed (Tel Aviv)
MSC:
35Q40
On the crystal ground state in the Schrödinger-Poisson model. (English) Zbl 1326.35086
Reviewer: Anthony D. Osborne (Keele)
Discretization of time-dependent quantum systems: real-time propagation of the evolution operator. (English) Zbl 1304.35591
A mathematical formulation of the random phase approximation for crystals. (English) Zbl 1273.82073
Reviewer: Xingbin Pan (Shanghai)
Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations. (English) Zbl 1229.35221
Reviewer: M. Marin (Brasov)
Solutions of the multiconfiguration time-dependent Hartree-Fock equations with Coulomb interactions. (English. Abridged French version) Zbl 1120.35077
Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation. (English) Zbl 1115.81026
Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control. (English) Zbl 1109.35094
Reviewer: Dirk Horstmann (Köln)
On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system. (English) Zbl 1073.35188
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