On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain

On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain

We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases, the Hamiltonian is assumed to be semibounded from below and to have a constant form domain, but a possibly non-constant operator...

Полное описание

Библиографические подробности
Главные авторы:	Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
Формат:	Статья
Язык:	English
Опубликовано:	MDPI AG 2022-01-01
Серии:	Mathematics
Предметы:	Schrödinger equation time-dependent Hamiltonian Hilbert scales time-dependent domain
Online-ссылка:	https://www.mdpi.com/2227-7390/10/2/218

Схожие документы

Hamiltonians of the Generalized Nonlinear Schrödinger Equations
по: Nikolay A. Kudryashov
Опубликовано: (2023-05-01)

Non-standard and Numerov finite difference schemes for finite difference time domain method to solve one-dimensional Schrödinger equation
по: Lily Maysari Angraini, и др.
Опубликовано: (2018-03-01)

Note On The Schrödinger Equation
по: Bizdadea C., и др.
Опубликовано: (2012-12-01)

Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation
по: Othmar Koch
Опубликовано: (2006-01-01)

Analysis of (<sup>11</sup>Li+<sup>9</sup>Be)-reaction in the framework of the time-dependent Schrodinger equation
по: A. K. Azhibekov, и др.
Опубликовано: (2021-11-01)

Solutions to the Schrödinger Equation: Nonlocal Terms and Geometric Constraints
по: Irina Petreska, и др.
Опубликовано: (2025-01-01)

Decay estimates for Schrödinger systems with time-dependent potentials in 2D
по: Shuqi Tang, и др.
Опубликовано: (2023-06-01)

Solvable Model of a Generic Driven Mixture of Trapped Bose–Einstein Condensates and Properties of a Many-Boson Floquet State at the Limit of an Infinite Number of Particles
по: Ofir E. Alon
Опубликовано: (2020-11-01)

Research Paper: Solution of the Dirac Equation for Pseudo-Hermitian Hamiltonian and Energy-levels Crossing
по: Zahra Bakhshi, и др.
Опубликовано: (2021-06-01)

Time-Dependent Effective Hamiltonians for Light–Matter Interactions
по: Aroaldo S. Santos, и др.
Опубликовано: (2024-06-01)

Supersymmetry of time-dependent Schrödinger equations with effective mass
по: Schulze-Halberg Axel
Опубликовано: (2008-03-01)

Perturbation Theory for Time-Dependent Quantum Systems Involving Complex Potentials
по: Jeong Ryeol Choi
Опубликовано: (2020-06-01)

NON LINEAR SCHRÓDINGER EQUATIONS - APPROXIMATE CONTROLLABILITY IN NONCYLINDRICAL DOMAINS
по: Ricardo Eleodoro Fuentes Apolaya
Опубликовано: (2014-09-01)

Relativistic Schrödinger equation and probability currents for free particles
по: David Carfì
Опубликовано: (2024-01-01)

Dissipative Boussinesq equations on non-cylindrical domains in R^n
по: Haroldo R. Clark, и др.
Опубликовано: (2010-01-01)

Numerical Solutions of the (2+1)-Dimensional Nonlinear and Linear Time-Dependent Schrödinger Equations Using Three Efficient Approximate Schemes
по: Neveen G. A. Farag, и др.
Опубликовано: (2023-02-01)

Hamiltonian Systems Inspired by the Schrödinger Equation
по: Vasyl Kovalchuk, и др.
Опубликовано: (2008-05-01)

The generalized nonlinear Schrödinger-like equation of cosmogonical body forming: Justification and determination of its particular solutions
по: Alexander M. Krot
Опубликовано: (2022-06-01)

Davydov–Chaban Hamiltonian in presence of time-dependent potential
по: Hadi Sobhani, и др.
Опубликовано: (2016-09-01)

Global $\widetilde{SL(2,R)}$ representations of the Schrödinger equation with singular potential
по: Franco Jose
Опубликовано: (2012-06-01)

Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
по: Hongli Yang, и др.
Опубликовано: (2024-08-01)

Study of enhancement of total cross sections of reactions with 6He, 6,9Li nuclei
по: Yu.E. Penionzhkevich, и др.
Опубликовано: (2017-11-01)

Solving Time-Dependent Schödinger Equation for Some PT-Symmetric Quantum Mechanical Problems
по: Tsin-Fu Jiang
Опубликовано: (2024-09-01)

Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
по: Christiane Quesne
Опубликовано: (2009-04-01)

QMol-grid : A MATLAB package for quantum-mechanical simulations in atomic and molecular systems
по: François Mauger, и др.
Опубликовано: (2024-12-01)

A Vibronic Coupling Hamiltonian to Describe the Ultrafast Excited State Dynamics of a Cu(I)-Phenanthroline Complex
по: Gloria Capano, и др.
Опубликовано: (2014-04-01)

Eliminating the Second-Order Time Dependence from the Time Dependent Schrödinger Equation Using Recursive Fourier Transforms
по: Sky Nelson-Isaacs
Опубликовано: (2024-06-01)

Application of moving kriging interpolation based on the meshless local Petrov-Galerkin (MK-MLPG) method for the two-dimensional time-dependent Schrodinger equation
по: Esmail Hesameddini, и др.
Опубликовано: (2018-10-01)

Asymptotic behaviour for Schrodinger equations with a quadratic nonlinearity in one-space dimension
по: Nakao Hayashi, и др.
Опубликовано: (2001-07-01)

Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation
по: Werther, Michael, и др.
Опубликовано: (2019)

Acceleration induced neutron emission in heavy nuclei
по: N. Carjan, и др.
Опубликовано: (2020-08-01)

Nucleon transfer in reactions<sup>3</sup>He+<sup>194</sup>Pt,<sup>45</sup>Sc within time-dependent approach
по: V. V. Samarin, и др.
Опубликовано: (2021-11-01)

Application of Jacobi’s last multiplier for construction of Hamiltonians of certain biological systems
по: Ghose Choudhury A., и др.
Опубликовано: (2012-04-01)

New soliton, kink and periodic solutions for fractional space–time coupled Schrödinger equation
по: Manal Alharbi, и др.
Опубликовано: (2025-02-01)

Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics
по: Ali Mostafazadeh
Опубликовано: (2020-04-01)

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential
по: Byungbae Kim, и др.
Опубликовано: (2022-02-01)

Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber
по: Zhou-Zheng Kang, и др.
Опубликовано: (2019-05-01)

Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation
по: Alahyane Mohamed, и др.
Опубликовано: (2022-05-01)

Existence and smoothing effects of the initial-boundary value problem for \partial u/\partial t-\Delta\sigma(u)=0 in time-dependent domains
по: Mitsuhiro Nakao
Опубликовано: (2023-06-01)

Darboux Transformation for the 3-Dimension Nonlinear Schrodinger Equation
по: Mingxiang Gui, и др.
Опубликовано: (2018-01-01)