Results 91 to 100 of about 38,445 (215)
Hardy type unique continuation properties for abstract Schrödinger equations and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, Hardy's uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued $L^{2}$ classes are obtained.
Veli Shakhmurov
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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Self‐Creation of Accelerated Temporal Mirrors
Advanced Physics Research, EarlyView.The field of temporal analog effects is rapidly emerging and seen as a driver of a paradigm shift in photonics. It promises striking new phenomena but remains experimentally challenging. This work introduces a mechanism that automatically creates a temporal mirror with simple optical means, unlocking practical access to extreme nonlinear dynamics and ...
Oliver Melchert +4 more
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Advanced Physics Research, EarlyView.This study proposes an innovative approach to strengthen and amplify entanglement in a hybrid qubit–qutrit system driven by a dynamic field. By analyzing the system's dynamics under both Markovian and non‐Markovian environments, we show that specific field values optimize entanglement.
Polislin Fabrice Wonang +5 more
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Operator of Time and Generalized Schrödinger Equation
Advances in Mathematical Physics, 2018 The equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics.
Slobodan Prvanović
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Rational Design of Donor‐Acceptor Oligomers for Enhanced Charge Separation
Advanced Physics Research, EarlyView.How can molecular symmetry be broken to maximize photoinduced charge separation? Through first‐principles analysis of 22 DTP‐based donor‐acceptor ternary oligomers, this work establishes that combining architectural asymmetry with site‐selective acceptor fluorination creates an ideal electrostatic landscape for frontier orbital segregation.
Jannik Theile +3 more
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Some Estimates of Schrödinger-Type Operators with Certain Nonnegative Potentials
International Journal of Mathematics and Mathematical Sciences, 2008 We consider the Schrödinger-type operator H=(−Δ)2+V2, where the nonnegative potential V belongs to the reverse Hölder class Bq1 for q1≥n/2, n≥5.
Yu Liu, Youzheng Ding
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5‐Methylcytosine Analysis of miRNAs in Minimal Change Disease
Biotechnology and Applied Biochemistry, EarlyView.ABSTRACT Minimal change disease (MCD) is a glomerular disorder, which is the most common cause of nephrotic syndrome in children. Additionally, the prevalence of MCD in adults has been increasing in recent years. During protein synthesis, noncoding RNAs can be regulated through a variety of modifications, which helps preserve biological diversity and ...
Huiyi Zeng +14 more
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Известия Иркутского государственного университета: Серия "Математика"In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov +2 more
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Affinity Peptides With pH Sensitivity for the Enrichment of CD38+ Cells
Biotechnology and Bioengineering, EarlyView.ABSTRACT The selective enrichment of cell populations based on surface markers is critical for the advancement of gene and cell therapies. Current antibody‐based cell isolation methods, such as fluorescence‐ and magnetic‐activated cell sorting (FACS and MACS), offer high specificity but are limited by scalability, cost, and potential adverse effects on
Gabrielle Rusch +7 more
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