Results 51 to 60 of about 39,475 (232)

Asymptotic Solutions of the Phase Space Schrodinger Equation: Anisotropic Gaussian Approximation [PDF]

, 2014
We consider the singular semiclassical initial value problem for the phase space Schrodinger equation. We approximate semiclassical quantum evolution in phase space by analyzing initial states as superpositions of Gaussian wave packets and applying ...
Karageorge, Panos D., Makrakis, G.N.
core   +1 more source

Self Similar Solutions of the Evolution Equation of a Scalar Field in an Expanding Geometry

, 1994
We consider the functional Schrodinger equation for a self interacting scalar field in an expanding geometry. By performing a time dependent scale transformation on the argument of the field we derive a functional Schrodinger equation whose hamiltonian ...
Abramowitz, Boyanovski, Bunch, C. Martin, D. Vautherin, Eboli, F.L. Braghin, Freese, Guth, Guven, Jackiw, Kerman, Thouless   +12 more
core   +3 more sources

The classical Schrödinger equation [PDF]

Journal of Physics A: Mathematical and General, 1996
A non perturbative numerical method for determining the discrete spectra is deduced from the classical analogue of the Schrodinger's equation. The energy eigenvalues coincide with the bifurcation parameters for the classical orbits.
Mielnik, Bogdan, Reyes, Marco A.
openaire   +2 more sources

Molecular dynamics simulations of positively selected codons in FcγRI reveal novel biochemical binding properties

FEBS Open Bio, EarlyView.
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young, Omar Arias‐Gaguancela, Fiona Gibson, Morgan Grainger, Jodie Score, Amit Nathubhai, Mauricio Cafiero, Lee Richard Machado   +7 more
wiley   +1 more source

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization

Scientific Reports
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki, Katsuhiro Endo, Mayu Muramatsu   +2 more
doaj   +1 more source

Biodegradable and Recyclable Luminescent Mixed‐Matrix‐Membranes, Hydrogels, and Cryogels based on Nanoscale Metal‐Organic Frameworks and Biopolymers

Advanced Functional Materials, EarlyView.
The study presents biodegradable and recyclable mixed‐matrix membranes (MMMs), hydrogels, and cryogels using luminescent nanoscale metal‐organic frameworks (nMOFs) and biopolymers. These bio‐nMOF‐MMMs combine europium‐based nMOFs as probes for the status of the materials with the biopolymers agar and gelatine and present alternatives to conventional ...
Moritz Maxeiner, Julian Burkhart, Kateryna Borysova, Chiara Mazzariol, Klaus Müller‐Buschbaum   +4 more
wiley   +1 more source

Novel soliton solutions and phase plane analysis in nonlinear Schrödinger equations with logarithmic nonlinearities

Scientific Reports
This paper investigates a generalized form of the nonlinear Schrödinger equation characterized by a logarithmic nonlinearity. The nonlinear Schrödinger equation, a fundamental equation in nonlinear wave theory, is applied across various physical systems ...
Du’a Al-zaleq, Lewa’ Alzaleq
doaj   +1 more source

Asymptotic behavior of dark multi-solitons to the intermediate nonlinear Schrödinger equation

Partial Differential Equations in Applied Mathematics
The intermediate nonlinear Schrödinger equation (abbreviated to (INS)) is a model equation for envelope waves in a deep stratified fluid and can be thought of as a generalization of the defocusing nonlinear Schrödinger equation. Furthermore, it possesses
Takafumi Akahori
doaj   +1 more source

Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative

The Scientific World Journal, 2014
Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota’s approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated.
Qi Li, Qiu-yuan Duan, Jian-bing Zhang
doaj   +1 more source

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source