Introduction to Spectral Theory of Schrödinger Operators
by A. Pankov
Publisher: Vinnitsa State Pedagogical University 2006
Number of pages: 112
Contents: A bit of quantum mechanics; Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; Periodic Schroedinger operators; etc.
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by Young Suh Kim (ed.) - MDPI AG
With a degree of exaggeration, modern physics is the physics of harmonic oscillators and two-by-two matrices. Indeed, they constitute the basic language for the symmetry problems in physics, and thus the main theme of this journal.
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
by Laszlo Erdos - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.