Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
From MaRDI portal
Publication:2761676
DOI10.1063/1.522463zbMath0976.82501OpenAlexW2004538321MaRDI QIDQ2761676
No author found.
Publication date: 9 January 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.522463
Related Items
ON THE REPRESENTATION OF Tr(e(A-λB)) AS A LAPLACE TRANSFORM ⋮ Trace functions as Laplace transforms ⋮ A positivity property of a quantum anharmonic oscillator suggested by the BMV conjecture ⋮ On D. Hägele's approach to the Bessis-Moussa-Villani conjecture ⋮ Perturbation of Wigner matrices and a conjecture ⋮ Asymptotic positivity of Hurwitz product traces: two proofs ⋮ Sparse noncommutative polynomial optimization ⋮ The BMV-conjecture over quaternions and octonions ⋮ Proof of the cases \(p \leq 7\) of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture ⋮ Stahl’s Theorem (aka BMV Conjecture): Insights and Intuition on its Proof ⋮ On the roots of a hyperbolic polynomial pencil ⋮ Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials ⋮ More on operator monotone and operator convex functions of several variables ⋮ Unnamed Item ⋮ Proof of the BMV conjecture ⋮ The tracial moment problem and trace-optimization of polynomials ⋮ FREE ENERGY DENSITY FOR MEAN FIELD PERTURBATION OF STATES OF A ONE-DIMENSIONAL SPIN CHAIN ⋮ Rademacher inequalities with applications ⋮ Large deviations and Chernoff bound for certain correlated states on a spin chain ⋮ The Wigner distribution of n arbitrary observables ⋮ The Good Fortune of Maintaining a Long-Lasting Close Friendship and Scientific Collaboration with V. E. Katsnelson ⋮ On a special case of the Herbert Stahl theorem ⋮ The function \(\cosh {(\sqrt{a\,t^2+b})}\) is exponentially convex ⋮ The singular bivariate quartic tracial moment problem ⋮ On the BMV conjecture for \(2 \times 2\) matrices and the exponential convexity of the function \({\cosh (\sqrt{at^2+b})}\) ⋮ Real zero polynomials and A. Horn's problem ⋮ The tracial moment problem on quadratic varieties ⋮ Further implications of the Bessis-Moussa-Villani conjecture ⋮ Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture ⋮ On the positivity of the coefficients of a certain polynomial defined by two positive definite matrices ⋮ Advances on the Bessis-Moussa-Villani trace conjecture ⋮ Convexity and Semidefinite Programming in Dimension-Free Matrix Unknowns ⋮ Sums of Hermitian squares and the BMV conjecture ⋮ A new series of conjectures and open questions in optimization and matrix analysis ⋮ Sums of Hermitian squares as an approach to the BMV conjecture ⋮ Padé approximant bounds on the positive solutions of some nonlinear elliptic equations ⋮ NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials ⋮ Optimization over trace polynomials ⋮ A note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecture ⋮ Principal minor sums of \((A + tB)^m\) ⋮ A hyper-geometric approach to the BMV-conjecture ⋮ On matrix algebras associated to sum-of-squares semidefinite programs
Cites Work