Results 81 to 90 of about 19,010 (265)
The Schrodinger equation on non-stationary domains
We investigate the dynamical effects of non-stationary boundaries on the stability of a quantum Hamiltonian system described by a periodic family ${H(gamma,t), tin[0,Gamma],Gamma>0}$ of Sturm-Liouville operators, a Schr"odinger equation $ipartial_{t}psi =
Gunther Karner
doaj
Schrodinger Equation and Hamilton's Equations
In (1), it is suggested that one may obtain the Schrodinger equation by using Hamilton’s equations as a starting point, i.e dp/dt = - dH/dq and dq/dt = dH/dp. (1) defines new variables phi(x,t) = ap+ibq and phi*(x,t) and writes: iC dphi/dt partial = {phi, H} and iC dphi*/dt partial ={ phi*, H}, where {} are the Poisson brackets.
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On the conection between the Liouville equation and the Schrodinger equation
Submitted to Physics Letters A.
Carnovali Jr., Edelver +1 more
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Intrinsic Phonons as a Dynamic Control Knob for Catalytic Reactivity in 2D Materials
Intrinsic phonon excitations are demonstrated to serve as a dynamic control knob for catalytic reactivity in 2D materials. Mode‐selective lattice vibrations reconstruct the electronic structure, lower oxygen evolution reaction barriers, establishing a phonon‐engineering paradigm for dynamically regulating electrocatalysis beyond conventional static ...
Kai Ren +5 more
wiley +1 more source
A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum
We consider the nonlinear Schrödinger equation -Δu+f(u)=V(x)u in RN. The potential function V satisfies that the essential spectrum of the Schrödinger operator -Δ-V is [0,+∞) and this Schrödinger operator has infinitely many negative eigenvalues ...
Shaowei Chen, Haijun Zhou
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Schematic diagrams illustrating the breakthrough in the screening of AChE inhibitors from LBL, and the research process of the pharmacodynamics of the NCP are presented. ABSTRACT Current Alzheimer's drugs exhibit limited effectiveness, highlighting the necessity for multi‐target treatments.
Yuping Sa +11 more
wiley +1 more source
Schrodinger Equation Dissection
The Schrödinger equation has been the central mathematical instrument of quantum mechanics for a century. This paper argues that it is not a quantum mechanical equation at all. It is classical energy conservation applied inside a sphere, with a classical wave form assumed rather than derived.
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Schrodinger Equation in Dilated Frame
There has been interest in the form of the Schrodinger equation in different noninertial frames for many decades, especially the rotating frame. Recently, transforming from one frame to another is described by using Lorentz boosts followed by a nonrelativistic limit (1).
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This study reveals that Tex10 drives oxaliplatin resistance in colorectal cancer by competitively binding BRD9 to disrupt the ncBAF complex, thereby suppressing AMBRA1 transcription and ULK1‐mediated autophagy. Gemcitabine is identified as a direct Tex10 inhibitor that restores autophagy and overcomes resistance.
Ping Xu +9 more
wiley +1 more source
On the Schrodinger Equation for the Minisuperspace Models
15 pages, latex, no ...
Tkach, V. I. +2 more
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