The Role of Mathematics in Quantum Chemistry: Special Issue in Honor of George Hall

Per‐Åke Malmqvist

Akira Inomata, Lawrence S. Schulman, Frank Steiner +2 more

Martin C. Gutzwiller has made groundbreaking contributions in several fundamental areas of physics. These works range from the Gutzwiller wave function for strongly correlated electrons to the likewise eponymous trace formula, powerful for quantization of chaotic systems, and mathematical studies of the orbit of the moon. His interests also include the history of classical and quantum mechanics. In recognition of the high esteem that Martin enjoys among his peers, we tried to reach out to those who have been inspired by Martin's works and put forth a festschrift honoring our distinguished colleague on the occasion of his 75th birthday in October of 2000 in the following few special issues of Foundations of Physics. The first issue contains a collection of papers related to Solid State Physics, and the remaining issues will cover mostly other areas of physics. All the contributions appearing in the Gutzwiller special issues are invited papers dedicated to Martin Gutzwiller. We are delighted to be able to celebrate Martin's 75th birthday together in this festschrift. Martin, Happy Birthday and Many Happy Returns!

M. Kibler, Tidjani N�gadi

Tanya Zelevinsky, Artur F. Izmaylov, Anastassia N. Alexandrova

I n this Physical Chemistry of Quantum Information Science (QIS) Virtual Special Issue, we delve into the research areas that have attracted significant attention and promise to reshape the landscape of quantum information science with a focus on molecular and materials systems.The topics explored here encompass theoretical and computational pursuits as well as cutting-edge experiments.The issue was inspired by recent innovations and discoveries in this active research field.Control of molecular quantum states has improved dramatically thanks to advances in producing cold molecular beams and trapped gas samples. 1 Manipulation of individual molecules in optical tweezers and of many-body interactions in various optical lattice configurations has opened exciting possibilities. 2 Likewise, control of quantum states has been achieved or proposed in a variety of materials, from defects in bulk materials to thin films and quantum dots and even large molecules such as dyes and fullerenes.The breadth of quantum technologies to which these molecular and materials platforms have the potential to cater is vast, including areas of sensing, computing, quantum optics, and beyond.Specifically, quantum computing may be poised to augment classical computations and offer solutions for challenging chemical problems, while quantum sensors can exhibit unprecedented sensitivity.These possibilities go beyond what is attainable with today's limited number of materials platforms, illustrating the central role of chemistry in the field of QIS.In this Virtual Special Issue, we explore quantum information science where molecular systems take center stage.We investigate the topic of quantum algorithms tailored for quantum chemistry, molecular dynamics, and statistical mechanics.This includes a quest to enhance the accuracy of classical computations for difficult chemistry problems involving strongly correlated systems in the works by A.

Piotr Piecuch B

This Reprint honors Professor Viktor Dodonov and his 55 years of contributions to quantum physics. It collects current research related to central themes of his work, including nonstationary quantum systems, the dynamical Casimir effect, quantum optics, nonclassical states, phase-space methods, uncertainty relations, decoherence, and time-dependent dynamics. The contributions cover foundational, mathematical, and applied aspects of quantum theory, with topics ranging from qubits and coherent states to semiclassical dynamics, quantum fields, and open systems. Together, they reflect the continuing influence of Dodonov's work on modern quantum physics.