Quantum Mechanics for Hamiltonians Defined as Quadratic Forms (eBook)

Barry Simon (Autor)

eBook Download: PDF

2015
262 Seiten
Princeton University Press (Verlag)
978-1-4008-6883-4 (ISBN)

Infos

This monograph combines a thorough introduction to the mathematical foundations of n-body Schrodinger mechanics with numerous new results.Originally published in 1971.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 8.3.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Series in Physics
• Reihe/Serie: Princeton Series in Physics
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: analytic continuation • Analytic Fredholm theorem • analytic function • automorphism • Banach space • bounded operator • Bounded set (topological vector space) • Cauchy–Schwarz inequality • Cauchy's theorem (geometry) • Center of mass (relativistic) • Change of variables • Characteristic function (probability theory) • classical mechanics • coefficient • complex number • complex plane • Computation • continuous function • Continuous spectrum • coupling constant • Differentiable function • differential equation • Differential operator • Dimension (vector space) • Eigenfunction • Eigenvalues and Eigenvectors • Equation • essential spectrum • existential quantification • Expectation value (quantum mechanics) • Formal power series • Fourier transform • Fredholm integral equation • Fubini's Theorem • functional calculus • Green's Function • Harmonic function • Heisenberg picture • hilbert space • holomorphic function • Infimum and supremum • integral equation • Integration by parts • interpolation theorem • Legendre Polynomials • Linear Function • logarithm • Mandelstam variables • Mathematical Induction • Mathematical Physics • Mathematical Proof • Mathematics • Measure (mathematics) • Meromorphic Function • monotone convergence theorem • Naturalness (physics) • Operator norm • Order of integration • Order of integration (calculus) • Orthonormal basis • Perturbation theory (quantum mechanics) • power series • quadratic form • quantum mechanics • radius of convergence • Removable singularity • Riemann–Stieltjes integral • rotational invariance • scattering amplitude • scattering theory • Schrödinger equation • scientific notation • Self-adjoint • Self-adjoint operator • Series (mathematics) • Sign (mathematics) • Sobolev inequality • Sobolev Space • space form • Special case • Spectral Theorem • Square-integrable function • Stone's theorem • Strong operator topology • Support (mathematics) • Surjective function • Theorem • Three-dimensional space (mathematics) • Time evolution • Trace class • Translational symmetry • Trigonometric Functions • unbounded operator • Unitarity (physics) • Unitary Operator • Unit sphere • Variable (mathematics) • wave function • Weak convergence (Hilbert space) • Weak operator topology
• ISBN-10: 1-4008-6883-1 / 1400868831
• ISBN-13: 978-1-4008-6883-4 / 9781400868834