This book focuses on recent topics of quantum science in both physics and chemistry.  Until now, quantum science has not been fully discussed from the interdisciplinary vantage points of both physics and chemistry. This book, however, is written not only for theoretical physicists and chemists, but also for experimentalists in the fields of physical chemistry and condensed matter physics, as collaboration and interplay between construction of quantum theory, and experimentation has become more important. Tips for starting new types of research projects will be found in an understanding of cutting-edge quantum science.
 
In Part I, quantum electronic structures are explained in cases of strongly correlated copper oxides and heavy elements. In Part II, quantum molecular dynamics is investigated by computational approaches and molecular beam experiments. In Part III, after lithium problem in big bang nucleosynthesis scenario is considered using supersymmetricstandard model, quantum theories in atomic and molecular systems are reviewed.  Finally, in Part IV, the development of quantum computational method is introduced.