Topic
Transfer-matrix method
About: Transfer-matrix method is a research topic. Over the lifetime, 189 publications have been published within this topic receiving 2296 citations.
Papers published on a yearly basis
Papers
TL;DR: The Corner Transfer Matrix Renormalization Group (CTMRG) method as mentioned in this paper is based on a unified scheme of Baxter's corner transfer matrix method and White's density matrix renormalization group method.
Abstract: We propose a new fast numerical renormalization group method,the corner transfer matrix renormalization group (CTMRG) method, which is based on a unified scheme of Baxter's corner transfer matrix method and White's density matrix renormalization groupmethod. The key point is that a product of four corner transfer matrices gives the densitymatrix. We formulate the CTMRG method as a renormalization of 2D classical models.
232 citations
TL;DR: In this article, a simple, accurate, and fast algorithm for solving the one-dimensional time-independent Schrodinger equation is presented, based on the transfer matrix method, which makes it possible to calculate all bound and quasi-bound energy levels and the corresponding wave functions for an arbitrarily shaped potential profile.
Abstract: A simple, accurate, and fast algorithm for solving the one-dimensional time-independent Schrodinger equation is presented. The algorithm is based on the transfer matrix method. This makes it possible to calculate all bound and quasi-bound energy levels and the corresponding wave functions for an arbitrarily shaped potential profile. The results of calculations are compared with those obtained by other authors for various types of problems. A central part of this study deals with solving the Schrodinger equation in quantum-well structures. The results show that the transfer matrix method is as accurate as other methods, but it is easier to implement and, hence, is superior for calculations on small computer, such as a PC. >
230 citations
TL;DR: In this paper, it was shown how the monomer-dimer problem can be formulated in terms of a transfer matrix, and hence in terms simple spin operators as was originally done for the Ising problem.
Abstract: It is shown how the monomer‐dimer problem can be formulated in terms of a transfer matrix, and hence in terms of simple spin operators as was originally done for the Ising problem. Thus, we rederive the solution to the pure dimer problem without using Pfaffians. The solution is extremely simple once one sees how to formulate the transfer matrix.
136 citations
Book•
29 Nov 2018
70 citations
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 6 |
| 2019 | 3 |
| 2018 | 5 |
| 2017 | 4 |
| 2016 | 4 |