Many classical integrable systems (like the Euler, Lagrange and
Kowalewski tops or the Neumann system) as well as finite dimensional reductions
of many integrable PDEs share the property of being algebraically
completely integrable systems4. This means that they are completely integrable
Hamiltonian systems in the usual sense and, moreover, their complexified
invariant tori are open subsets of complex Abelian tori on which the
complexified flow is linear. To such systems the powerful algebro-geometrical
techniques may be applied...
Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Subspaces bất biến của các nhiễu loạn nhỏ gọn của các nhà khai thác tuyến tính trong không gian Banach...
Using an applications perspective Thermodynamic Models for Industrial Applications provides a unified framework for the development of various thermodynamic models, ranging from the classical models to some of the most advanced ones. Among these are the Cubic Plus Association Equation of State (CPA EoS) and the Perturbed Chain Statistical Association Fluid Theory (PC-SAFT). These two advanced models are already in widespread use in industry and academia, especially within the oil and gas, chemical and polymer industries....
The discussion about the manned spacecraft program was initiated at NASA in 1959.
Only one year later, Dr. Kalman and Dr. Schmidt linked the linear Kalman filter and the
perturbation theory in order to obtain the Kalman-Schmidt filter, currently known as the
extended Kalman filter. This approach would be implemented in 1961 using an IBM 704
computer (running at approximately 4000 operations per second) for simulation purposes,
and subsequently, in July 1969, for making the descent of the Apollo 11 lunar module to the
Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Nhiễu loạn phân tích của $ \ bar \ một phần $-nhà điều hành và các công thức đại diện không thể thiếu trong không gian Hilbert...
Preface 1 The Wave Function 2 Time-Independent Schrödinger Equation 3 Formalism 4 Quantum Mechanics in Three Dimensions 5 Identical Particles 6 Time-Independent Perturbation Theory 7 The Variational Principle 8 The WKB Approximation 9 Time-Dependent Perturbation Theory 10 The Adiabatic Approximation 11 Scattering 12 Afterword Appendix Linear Algebra 2nd Edition – 1st Edition Problem Correlation Grid 2 3 14 62 87 132 154 196 219 236 254 268 282 283 299
These are my own solutions to the problems in Introduction to Quantum Mechanics, 2nd ed.
The common feature of the above problems is the fact that the problem of interest is the detection of one or several abrupt changes in some characteristic properties of the considered object. The key difficulty is to detect intrinsic changes that are not necessarily directly observed and that are measured together with
other types of perturbations.