Results 31 to 40 of about 27,914 (184)

Quartic Anharmonic Oscillator and Random Matrix Theory [PDF]

, 1995
In this paper the relationship between the problem of constructing the ground state energy for the quantum quartic oscillator and the problem of computing mean eigenvalue of large positively definite random hermitean matrices is established.
Cicuta, G. M., Stramaglia, S., Ushveridze, A. G.   +2 more
core   +3 more sources

Linear and Two‐Dimensional Infrared Spectroscopy of the Multifunctional Vibrational Probe, 3‐(4‐Azidophenyl) Propiolonitrile. Deperturbing a Fermi Triad by Isotopic Substitution

ChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve, Jörg Lindner, Stefan Flesch, Luis I. Domenianni, Peter Vöhringer   +4 more
wiley   +1 more source

Period- and mirror-maps for the quartic K3

, 2011
We study in detail mirror symmetry for the quartic K3 surface in P3 and the mirror family obtained by the orbifold construction. As explained by Aspinwall and Morrison, mirror symmetry for K3 surfaces can be entirely described in terms of Hodge ...
A. Kapustin, A. Polishchuk, A.I. Efimov, C. Peters, D. Auroux, D. Huybrechts, D.O. Orlov, E.L. Ince, F. Klein, H. Lian B., Heinrich Hartmann, I.V. Dolgachev, J. Moser, K. Fukaya, M. Gross, M. Nagura, P. Candelas, P. Griffiths, P. Seidel, P.A. Griffiths, S.-M. Belcastro, V. Nikulin V., W.N. Bailey   +22 more
core   +1 more source

Unveiling spatial heterogeneity in urban underground space development patterns and mechanisms for differentiated planning: A points of interest‐based study of Shanghai

Deep Underground Science and Engineering, EarlyView.
This study investigated the spatial patterns and development mechanisms of urban underground space (UUS) in Shanghai using underground points of interest data. It revealed distinct development mechanisms between the main city and suburbs, highlighting the need for differentiated UUS planning and policies to optimize underground space resources ...
Chenxiao Ma, Fangle Peng, Yongkang Qiao, Yunhao Dong   +3 more
wiley   +1 more source

ASYMPTOTIC BEHAVIOR OF COMPLEX SCALAR FIELDS IN A FRIEDMAN-LEMAITRE UNIVERSE

, 1995
We study the coupled Einstein-Klein-Gordon equations for a complex scalar field with and without a quartic self-interaction in a curvatureless Friedman-Lema\^{\i}\-tre Universe. The equations can be written as a set of four coupled first order non-linear
A. D. Linde, A. Liddle, D. K. Arrowsmith, David Scialom, G. F. Smoot, K. A. Olive, N. Deruelle, N. Deruelle, P. Jetzer, Philippe Jetzer, T. Piran, V. A. Belinsky, V. A. Belinsky, V. A. Belinsky, V. Mukhanov   +14 more
core   +1 more source

Optimization of Multi‐Millet Cookie Formulation Using Mixture Design and Their Physicochemical Characterization

Food Safety and Health, EarlyView.
Sensory‐driven optimization of multi‐millet cookie formulation using RSM. ABSTRACT The effect of the composition of multi‐millet flour on the sensory acceptability of gluten‐free cookies containing xanthan gum as a binding agent was investigated and optimized.
Akash Kumar, Shashi Shekhar Mishra, Rekha Kaushik, Rahul Mehra, Shiv Kumar   +4 more
wiley   +1 more source

Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4

Electronic Journal of Differential Equations, 2019
We classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential system.
Rebiha Benterki, Jaume Llibre
doaj  

Dark soliton solutions of cubic-quartic non-linear Schrödinger equation via Sumudu HPM

Results in Optics
This research provides study about the cubic-quartic nonlinear Schrödinger equation (CQNLSE), a basic mathematical model with applications in nonlinear optics, plasma physics, and Bose-Einstein condensates.
Mamta Kapoor
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Limit cycles bifurcating from the period annulus of a uniform isochronous center in a quartic polynomial differential system

Electronic Journal of Differential Equations, 2015
We study the number of limit cycles that bifurcate from the periodic solutions surrounding a uniform isochronous center located at the origin of the quartic polynomial differential system $$ \dot{x}=-y+xy(x^2+y^2),\quad \dot{y}=x+y^2(x^2+y^2 ...
Jackson Itikawa, Jaume Llibre
doaj