Results 141 to 150 of about 711,979 (178)
Feynman integrals and Fredholm determinants
Journal of Mathematical Physics, 1994 In this article simple properties of Feynman integrals such as the translation invariance, Fubini theorem, and Cameron–Martin formula are used in order to derive a product formula for Fredholm determinants. This formula enables us to compute explicitly some of such determinants as well as the index of the related Fredholm operators.
Rezende, J. (Lisbon Univ. (Portugal). Dept. de Matematica) +1 more
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Stieltjes imaging of fredholm determinants
Chemical Physics Letters, 1974Abstract Approximations to Fredholm determinants calculated from the Ritz principle and square-integrable basis functions are interpreted in the context of Stieltjes integration, and shown to provide convergent estimates of elastic scattering phase shifts.
P W Langhoff
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On the analyticity of the fredholm determinant
Monatshefte für Mathematik, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyd, Christopher, Snigireva, Nina
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Expressions in Fredholm Determinants for Solutions of the Strict KP Hierarchy
Theoretical and Mathematical Physics(Russian Federation), 2019 We present explicit expressions for wave functions and also their duals in terms of two Fredholm determinants that correspond to the geometric Segal—Wilson ...
E A Panasenko, G F Helminck
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2000
In Section 1 we treat the trace and determinant for Fredholm integral operators. For the case of a continuous kernel, this theory was first introduced by Fredholm in the famous paper [Fr]. Some modifications of the Fredholm determinant for integral operators with discontinuous kernels are proposed in Sections 2 and 3.
Israel Gohberg +2 more
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In Section 1 we treat the trace and determinant for Fredholm integral operators. For the case of a continuous kernel, this theory was first introduced by Fredholm in the famous paper [Fr]. Some modifications of the Fredholm determinant for integral operators with discontinuous kernels are proposed in Sections 2 and 3.
Israel Gohberg +2 more
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The Airy Function is a Fredholm Determinant
Journal of Dynamics and Differential Equations, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Fredholm Determinant for a Dirac Operator
Annals of Physics, 1994The Fredholm determinant for a Dirac operator appropriate to a particle moving in one spatial dimension is investigated. The operator is written as \(H=p_ x\sigma_ 1+ m\sigma_ 3+ V(x)\), where \(p_ x\), \(m\) and \(V(x)\) are, respectively, the momentum, mass, and potential energy of the particle and the Pauli spin matrices, \(\sigma_ i\), constitute a
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Fredholm determinants andτ-functions
Theoretical and Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fredholm determinants and the Camassa‐Holm hierarchy
Communications on Pure and Applied Mathematics, 2003The paper studies the Camassa-Holm (CH) equation \[ \frac {\partial m}{\partial t}=-(mD+Dm)v, \] in which \( D= \partial /{\partial x}\) and \( m=v-v''\): in extenso, \[ \text{CH}:\;\frac {\partial v}{\partial t}-\frac {\partial ^3v}{\partial t\partial x^2}+3v\frac {\partial v}{\partial x}-2\frac {\partial v}{\partial x}\frac {\partial ^2v}{\partial x ...
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Completely Monotonic Fredholm Determinants
2020A functionf(x) is called completely monotonic if (−1)mf(m)(x) > 0. In random matrix theory when the associated orthogonal polynomials have Freud weights, it is known that the expectation of having m eigenvalues of a random Hermitian matrix in an interval is a multiple of (−1)m times the m-th derivative of a Fredholm determinant at λ = 1.
Mourad E. H. Ismail, Ruiming Zhang
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