Lectures on Quantum Mechanics

DOI10.1017/CBO9781139236799zbMath1264.81010MaRDI QIDQ5894801

Publication date: 13 December 2012

perturbation theory symmetries quantum mechanics entanglement EPR paradox algebra of observables Hilbert space approach

General and philosophical questions in quantum theory (81P05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum coherence, entanglement, quantum correlations (81P40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) General mathematical topics and methods in quantum theory (81Qxx)

Related Items (84)

Electroweak radiative corrections for collider physics ⋮ Boundary conformal field theory at large charge ⋮ Structural properties of generalised Planck distributions ⋮ Lagrangians for massive Dirac chiral superfields ⋮ The infrared structure of Nambu-Goldstone bosons ⋮ Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an \(L_{\infty}\) algebra ⋮ Towards a quantum world wide web ⋮ Eliminating ensembles from equilibrium statistical physics: Maxwell's demon, Szilard's engine, and thermodynamics via entanglement ⋮ First quantized electrodynamics ⋮ Wormholes, emergent gauge fields, and the weak gravity conjecture ⋮ \( \mathcal{N}=3 \) four dimensional field theories ⋮ Dai-Freed theorem and topological phases of matter ⋮ Quantum information erasure inside black holes ⋮ Quantum mechanical reality according to Copenhagen 2.0 ⋮ Duffin-Kemmer-Petiau particles are bosons ⋮ How Do the Probabilities Arise in Quantum Measurement? ⋮ What is the uncertainty principle of non-relativistic quantum mechanics? ⋮ Resolving the Schwarzschild singularity in both classic and quantum gravity ⋮ Observables, disassembled ⋮ Eigenlogic in the spirit of George Boole ⋮ Distribution of \(xp\) in some molecular rotational states ⋮ Remembrance of things past ⋮ Modified commutators are not sufficient to determine a quantum gravity minimal length scale ⋮ Axion effective action ⋮ Einstein's boxes: incompleteness of quantum mechanics without a separation principle ⋮ The infrared structure of exceptional scalar theories ⋮ Multiplets of superconformal symmetry in diverse dimensions ⋮ Information missing puzzle, where is Hawking's error? ⋮ Constructing operator basis in supersymmetry: a Hilbert series approach ⋮ Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves ⋮ Integrating out beyond tree level and relativistic superfluids ⋮ Axions in string theory -- slaying the hydra of dark radiation ⋮ A periodic table of effective field theories ⋮ Dispersive sum rules in \(\mathrm{AdS}_2\) ⋮ Heterotic global anomalies and torsion Witten index ⋮ Self-similar gravitational dynamics, singularities and criticality in 2D ⋮ Natural number dynamics: reconstructing physics from generalized atomicity ⋮ Pointers for quantum measurement theory ⋮ Information-theoretic interpretation of quantum formalism ⋮ The role of the pion in the lineshape of the \(X(3872)\) ⋮ Lessons from realistic physics for the metaphysics of quantum theory ⋮ Quantization and quantum-like phenomena: a number amplitude approach ⋮ Complete random matrix classification of SYK models with \( \mathcal{N} = 0, 1\) and 2 supersymmetry ⋮ On the problem of electromagnetic-field quantization ⋮ Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models ⋮ The measure problem in no-collapse (many worlds) quantum mechanics ⋮ Spontaneously broken boosts and the Goldstone continuum ⋮ Is Schrödinger's Cat Alive? ⋮ Dimensional regularization and Breitenlohner-Maison/'t Hooft-Veltman scheme for \(\gamma_5\) applied to chiral YM theories: full one-loop counterterm and RGE structure ⋮ Exact inner metric and microscopic state of \(\mathrm{AdS}_3\)-Schwarzschild BHs ⋮ Exploring 2-group global symmetries ⋮ On generalized quantum scattering theory: Rayleigh scattering and Thomson scattering with a minimal length ⋮ Topological violation of global symmetries in quantum gravity ⋮ Exact RG flow equations and quantum gravity ⋮ 3d \( \mathcal{N}=4 \) super-Yang-Mills on a lattice ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ Bound states on the lattice with partially twisted boundary conditions ⋮ Monotonicity of the quantum relative entropy under positive maps ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? ⋮ Quantum corrections to generic branes: DBI, NLSM, and more ⋮ Non-relativistic limit of gravity theories in the first order formalism ⋮ No-faster-than-light-signaling implies linear evolution. A re-derivation ⋮ Massive on-shell supersymmetric scattering amplitudes ⋮ New heat kernel method in Lifshitz theories ⋮ A technical analog of the cosmological constant problem and a solution thereof ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity ⋮ Active versus passive transformations in the presence of a magnetic field ⋮ Testing ambiguity and Machina preferences within a quantum-theoretic framework for decision-making ⋮ Anomaly inflow and holography ⋮ Design of coherent quantum observers for linear quantum systems ⋮ Anomaly matching in QCD thermal phase transition ⋮ Gauged galileons ⋮ Observing a quantum measurement ⋮ Sliding naturalness: cosmological selection of the weak scale ⋮ Spin matrix theory in near \(\frac{1}{8}\)-BPS corners of \(\mathcal{N} = 4\) super-Yang-Mills ⋮ A link that matters: towards phenomenological tests of unimodular asymptotic safety ⋮ Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. I: Standard model ⋮ Spin impurities, Wilson lines and semiclassics ⋮ QFT with stubs ⋮ Spin-statistics connection for relativistic quantum mechanics ⋮ Quantifying algebraic asymmetry of Hamiltonian systems ⋮ How Dirac's Seminal Contributions Pave the Way for Comprehending Nature's Deeper Designs ⋮ Mass varying neutrinos with different quintessence potentials ⋮ Can Decoherence Solve the Measurement Problem?

This page was built for publication: Lectures on Quantum Mechanics