Results 21 to 30 of about 71,271 (229)
A product formula for the eigenfunctions of a quartic oscillator [PDF]
, 2015 We consider the Schr\"odinger operator on the real line with an even quartic potential. Our main result is a product formula of the type $\psi_k(x)\psi_k(y) = \int_{\mathbb{R}} \psi_k(z)\mathcal{K}(x,y,z)dz$ for its eigenfunctions $\psi_k$.
Hallnäs, Martin, Langmann, Edwin
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Nuclear Physics B, 2017 We demonstrate that in non-Abelian N=1 supersymmetric gauge theories the NSVZ relation is valid for terms quartic in the Yukawa couplings independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare ...
V.Yu. Shakhmanov, K.V. Stepanyantz
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Results in Physics, 2020 This paper applies exp-function expansion algorithm to secure to cubic-quartic dark and singular optical solitons in birefringent fibers that are studied with four forms of nonlinear refractive index.
Yakup Yıldırım +7 more
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Numerical simulation of heavy fermions in an SU(2)_L x SU(2)_R symmetric Yukawa model [PDF]
, 1992 An exploratory numerical study of the influence of heavy fermion doublets on the mass of the Higgs boson is performed in the decoupling limit of a chiral $\rm SU(2)_L \otimes SU(2)_R$ symmetric Yukawa model with mirror fermions.
Frick, C. +6 more
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Chemical Engineering Transactions, 2015 Although many methods can be used to conduct platinum resistor non-linear rectification, they cannot be put into wide use because of shortcomings such as narrow temperature range and complicated calculation of rectification. This article conducts fitting
Z.X. Wu, X.C. Zhou, G. Chen
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Quantum quench, large N, and symmetry restoration
Journal of High Energy Physics, 2020 We globally quench the theory of two dimensional massless fermions (many flavours) with quartic interactions by making the quartic coupling a smooth function of time.
Diptarka Das, Bidyut Dey
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Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamadi M +4 more
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Iterative Solutions for Low Lying Excited States of a Class of Schroedinger Equation [PDF]
, 2006 The convergent iterative procedure for solving the groundstate Schroedinger equation is extended to derive the excitation energy and the wave function of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem.
Friedberg R +3 more
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Alexandria Engineering Journal, 2023 Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty +3 more
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On Ramanujan's Quartic Theory of Elliptic Functions
Journal of Number Theory, 2001 Let \(\varphi(q):=\sum_{n=-\infty}^\infty q^{n^2}\). In the classical theory of theta-functions, a fundamental inversion formula is \[ {}_2F_1(\tfrac 12, \tfrac 12;1;x)=\varphi^2(q_2),\tag{1} \] where the relationship between \(q_2\) and \(x\) is given by \[ q_r=q_r(x)=\exp\left(-\pi \csc(\pi/r)\frac {{}_2F_1(\frac {1}{r}, \frac{r-1}r;1;1-x)} {{}_2F_1(\
Berndt, B.C., Chan, H.H., Liaw, W.-C.
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