Werner Heisenberg the lattice theory of crystals in 1921. While matrices were used in these cases, the algebra of matrices with their multiplication did not enter the picture as they did in the matrix formulation of quantum mechanics. In 1928, Albert Einstein nominated Heisenberg, Born, and Jordan for the Nobel Prize in Physics, The announcement of the Nobel Prize in Physics for 1932 was delayed until November 1933. It was at that time that it was announced Heisenberg had won the Prize for 1932 "for the creation of quantum mechanics, the application of which has, , led to the discovery of the
DMRG of the Heisenberg model for example: formula_68 formula_69 formula_70 formula_71 Now, form the formula_72 matrix representations of the new block and universe-block operators, form a new block by changing basis with the transformation formula_58, for example: formula_74 At this point the iteration is ended and the algorithm goes back to step 1. The algorithm stops successfully when the observable converges to some value. DMRG of the Heisenberg model Within the study of the quantum many-body problem in physics, the DMRG analysis of the Heisenberg model is an important theoretical example applying techniques of the density matrix renormalization group (DMRG) to the Heisenberg model of