Quantum Dynamics for Classical Systems With Applications of the Number Operator

Introduces number operators with a focus on the relationshipbetween quantum mechanics and social science Mathematics is increasingly applied to classical problems infinance, biology, economics, and elsewhere. Quantum Dynamics forClassical Systems describes how quantum tools—the numberoperator in particular—can be used to create dynamicalsystems in which the variables are operator-valued functions andwhose results explain the presented model. The book presentsmathematical results and their applications to concrete systems anddiscusses the methods used, results obtained, and techniquesdeveloped for the proofs of the results. The central ideas of number operators are illuminated whileavoiding excessive technicalities that are unnecessary forunderstanding and learning the various mathematical applications.The presented dynamical systems address a variety of contexts andoffer clear analyses and explanations of concluded results.Additional features in Quantum Dynamics for ClassicalSystems include: Applications across diverse fields including stock markets andpopulation migration as well as a unique quantum perspective onthese classes of models Illustrations of the use of creation and annihilation operatorsfor classical problems Examples of the recent increase in research and literature onthe many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers whileshedding light on new approaches in the field Quantum Dynamics for Classical Systems is an idealreference for researchers, professionals, and academics in appliedmathematics, economics, physics, biology, and sociology. The bookis also excellent for courses in dynamical systems, quantummechanics, and mathematical models.