The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block ...The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block are known based on an arbitrary block vector,(iii) the ground-state belongs to the zero-mode’s block.The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified.Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.展开更多
By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The curvature, the ap...By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The curvature, the apex height, and the contact radius, are related by the identities. The validity of the identities is checked by various numerical solutions for drops on flat and curved substrates.展开更多
基金Supported by the Research Council of the Alzahra University
文摘The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block are known based on an arbitrary block vector,(iii) the ground-state belongs to the zero-mode’s block.The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified.Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.
基金Project supported by the Research Council of Alzahra University(No.7356-w-2511)
文摘By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The curvature, the apex height, and the contact radius, are related by the identities. The validity of the identities is checked by various numerical solutions for drops on flat and curved substrates.
