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Quantum Integrability of Certain Boundary Conditions [PDF]
Physics Letters B, 1998 We study the quantum integrability of the O(N) nonlinear $\sigma$ (nls) model and the O(N) Gross-Neveu (GN) model on the half-line. We show that the \nls model is integrable with Neumann, Dirichlet and a mixed boundary condition, and that the GN model is
De Martino, A., Moriconi, M.
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Quantum Lie systems and integrability conditions [PDF]
International Journal of Geometric Methods in Modern Physics, 2009 The theory of Lie systems has recently been applied to Quantum Mechanics and additionally some integrability conditions for Lie systems of differential equations have also recently been analysed from a geometric perspective.
Cariñena J. F. +7 more
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Conditional Wiener integrals. II [PDF]
Pacific Journal of Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Chull, Skoug, David
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Generalized Conditional Yeh-Wiener Integral [PDF]
Rocky Mountain Journal of Mathematics, 2005 The article is devoted to a generalized conditional Yeh-Wiener integral. This integral includes as particular cases the conditional integral and the modified conditional integral of Yeh and Wiener. It is constructed on the space of continuous functions of two variables on a domain.
Chang, Joo Sup, Ahn, Joong Hyun
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On integrability and cyclicity of cubic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we study the integrability of a few families of the complex cubic system. We have obtained necessary and sufficient conditions for existence of a local analytic first integral.
Maša Dukarić
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Variational Henstock integrability of Banach space valued functions [PDF]
Mathematica Bohemica, 2016 We study the integrability of Banach space valued strongly measurable functions defined on $[0,1]$. In the case of functions $f$ given by $\sum\nolimits_{n=1}^{\infty} x_n\chi_{E_n}$, where $x_n $ are points of a Banach space and the sets $E_n$ are ...
Luisa Di Piazza +2 more
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Representability conditions by Grassmann integration [PDF]
Advances in Theoretical and Mathematical Physics, 2015 Representability conditions on the one- and two-particle density matrix for fermion systems are formulated by means of Grassmann integrals. A positivity condition for a certain kind of Grassmann integral is established which, in turn, induces the well-known G-, P- and Q-Conditions of quantum chemistry by an appropriate choice of the integrand ...
Bach, Volker +2 more
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Integrable impurities as boundary conditions [PDF]
EPL (Europhysics Letters), 2011 6 ...
Moliner, M., Schmitteckert, P.
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Generalized integrability conditions and target space geometry [PDF]
, 2005 In some higher dimensional nonlinear field theories integrable subsectors with infinitely many conservation laws have been identified by imposing additional integrability conditions.
Adam +17 more
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Computation of focus quantities of three-dimensional polynomial systems
上海师范大学学报. 自然科学版, 2014 Fix a collection of polynomial vector fields on R3 with a singularity at the origin,for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue.Some such systems admit a local analytic first integral,which then
Valery G. Romanovski, Douglas S. Shafer
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