Elhatisari, Serdar2019-12-062019-12-062019Elhatisari, S. (2019). Adiabatic projection method with Euclidean time subspace projection. European Physical Journal A, 55, 8.1434-60011434-601Xhttps://dx.doi.org/10.1140/epja/i2019-12844-9https://hdl.handle.net/11492/2410WOS:000483871600003Euclidean time projection is a powerful tool that uses exponential decay to extract the low-energy information of quantum systems. The adiabatic projection method, which is based on Euclidean time projection, is a procedure for studying scattering and reactions on the lattice. The method constructs the adiabatic Hamiltonian that gives the low-lying energies and wave functions of two-cluster systems. In this paper we seek the answer to the question whether an adiabatic Hamiltonian constructed in a smaller subspace of the two-cluster state space can still provide information on the low-lying spectrum and the corresponding wave functions. We present the results from our investigations on constructing the adiabatic Hamiltonian using Euclidean time projection and extracting details of the low-energy spectrum and wave functions by diagonalizing it. In our analyses we consider systems of fermion-fermion and fermion-dimer interacting via a zero-range attractive potential in one dimension, and fermion-fermion interacting via an attractive Gaussian potential in three dimensions. The results presented here provide a guide for improving the adiabatic projection method and for reducing the computational costs of large-scale calculations of ab initio nuclear scattering and reactions using Monte Carlo methods.enArticle558info:eu-repo/semantics/openAccess2-s2.0-85071479379WOS:00048387160000310.1140/epja/i2019-12844-9Q2Q2