The Principles of Quantum Mechanics
1958/06/01 by P. A. M. Dirac, J. C. Polkinghorne · 234 citations
Physics and Astronomy · #Quantum Mechanics and Applications
paper · doi:10.1063/1.3062610
Abstract
We are now going to put some order in our ideas and do theoretical physics. During the years 1925 to 1927, quantum mechanics took shape and accumulated successes. But three persons, and not the least, addressed the question of its structure. In Zürich there was Erwin Schrödinger, in Göttingen David Hilbert, and in Cambridge Paul Adrien Maurice Dirac.KeywordsHilbert SpaceQuantum MechanicScalar ProductState VectorComplex Vector SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Cited by
- Invariance or equivalence: a tale of two principles
- Quantum computing with NMR
- Single-particle entanglement and three forms of ambiguity
- Some intricacies of the momentum operator in quantum mechanics
- The possible new force in nature
- Mathematical Models of Contemporary Elementary Quantum Computing Devices
- Classical simulators of quantum computers and no-go theorems
- Quantum Reasoning using Lie Algebra for Everyday Life (and AI\n perhaps...)
- Evolutionary forms: Conservation laws and causality
- Effects of uniform acceleration on quantum states and vacuum entanglement in relativistic quantum information
- Ultra High Energy Particles
- Quantum Superpositions Do Exist! But 'Quantum Physical Reality is different to Actuality' (Reply to Dieks and Griffiths)
- Thawing the Frozen Formalism: The Difference Between Observables and What We Observe
- Le problème de Kadison-Singer (The Kadison-Singer problem)
- Deja-Vu: A Glimpse on Radioactive Soft-Error Consequences on Classical and Quantum Computations
- Zitterbewegung and the Charge of an Electron
- Kontsevich's deformation quantization: from Dirac to multiple zeta values
- Is Brain in a Superfluid State? Physics of Consciousness
- Bibliographic guide to the foundations of quantum mechanics and quantum information
- A Relativistic Symmetrical Interpretation of the Dirac Equation in (1+1) Dimensions
- About the Origin of the Division between Internal and External Symmetries in Quantum Field Theory
- Signal Flows in Non-Markovian Linear Quantum Feedback Networks
- Why the wave function, of all things?
- The One, the Many, and the Quantum
- Graph eigenvectors, fundamental weights and centrality metrics for nodes\n in networks
- Complex geometry and fundamental physical law
- Structural Invariance: A Link Between Chaos and Random Matrices
- An Agent-based Modeling Framework for Sociotechnical Simulation of Water\n Distribution Contamination Events
- Dirac's principle in multimode interference of independent sources
- Theoretical Equivalence in Physics
- Decoherence, einselection, and the quantum origins of the classical
- Pathways of History of Elementary Particle Physics
- The Algebra of the Pseudo-Observables I: Why Quantum Mechanics is the ultimate description of Reality
- Copenhagen Interpretation of Quantum Theory and the Measurement Problem
- An Electronically Non-Adiabatic Generalization of Ring Polymer Molecular\n Dynamics
- A term-rewriting system for computer quantum algebra
- Learning Principle of Least Action with Reinforcement Learning
- Dependence of Earth's Thermal Radiation on Five Most Abundant Greenhouse Gases
- The Algebra of the Pseudo-Observables III: Transformations and Time Evolution
- Is the Quantum State Real? An Extended Review of ψ-Ontology Theorems
- The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO
- A Primer in Quantum Mechanics for NMR Students
- From GR to STG -- Inheritance and development of Einstein's heritages
- Elementary gates for quantum computation
- Universe of Fluctuations II
- New Resonant Bivacuum Mediated Interaction, as a Possible Explanation of Psi Phenomena
- Bound States of the Perturbed Schrödinger Systems
- Växjö interpretation-2003: realism of contexts
- Quantum theory and functional analysis
- Ionization of light atoms and ions during the nuclear β--decay
- Basics of Quantum Computation (Part 1)
- Particle spin dynamics as the grassmann variant of classical mechanics
- Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements
- Signatures of relic quantum nonequilibrium
- Arising information regularities in an observer
- The Projection Operator Method and the Ashtekar-Horowitz-Boulware Model
- Multiply Connected Universes
- Eigenfunction Expansions and Transformation Theory
- Path Integrals, and Classical and Quantum Constraints
- Quantum mechanics, interference, and the brain
- Utilizing Pileup Effect and Intermittently Nonlinear Filtering in Synthesis of Covert and Hard-to-Intercept Communication Links
- Derivation of the TCP Theorem using Action Principles
- Can quantum probability provide a new direction for cognitive modeling?
- Integrating hidden information which is observed and the observer information regularities
- Notes on Quantum Field Theory in Curved Spacetime: Problems Relating to the Concept of Particles and Hamiltonian Formalism
- Invariant and evolutionary properties of the skew-symmetric differential forms
- Quantum Optical Version of Classical Optical Transformations and Beyond
- Fuzzy Space Time, Quantum Geometry and Cosmology
- Introduction to Quantum Mechanics and the Quantum-Classical transition
- Four Postulates of Quantum Mechanics Are Three
- From Bosonic Strings to Fermions
- Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
- Lindbladian Evolution with Selfadjoint Lindblad Operators as Averaged Random Unitary Evolution
- Scheme of a Derivation of Collapse from Quantum Dynamics II
- Conditional interpretation of time in quantum gravity and a time operator in relativistic quantum mechanics
- Unification per the Relational Blockworld
- On the Philosophical Foundations of Physics: An Experimentalist's Perspective
- Evidence for the epistemic view of quantum states: A toy theory
- Dynamical methods of investigation in application to the Dirac particle
- Foundations of Quantum Mechanics, an Empiricist Approach
- Quantum Wave Resistance of Schrodinger functions
- Quantum mechanics as a space-time theory
- Causality in quantum physics, the ensemble of beginnings of time, and\n the dispersion relations of wave function
- An operational characterization of the notion of probability by\n algorithmic randomness and its applications
- A Five Dimensional Space Without Local Lorentz Invariance
- Regularity in semantic change
- Interaction between a moving electron and magnetic flux in Aharonov-Bohm effect
- Some Problems of Self-Adjoint Extension in the Schrodinger equation
- Local realist (but contextual) derivation of the EPR-Bohm correlations
- Entangled state representations in non-commutative space and their applications
- Can the Aharonov-Bohm effect be used to detect or refute superseparability?
- Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
- Understanding the Complex Position in a PT-symmetric Oscillator
- Quantum Theory of Ur Objects and General Relativity
- Die gegenw�rtige Situation in der Quantenmechanik
- Classical equations of motion and algebras of quantum observables
- Event Enhanced High-Quality Image Recovery
- Quantum Reservoir Engineering
- Zitterbewegung field and the fifth force
- The Casimir effect: recent controversies and progress
- On the Einstein Podolsky Rosen paradox
- The origin of causal set structure in the quantum universe
- General procedure of solving the time-dependent Schrödinger equation
- Spectral Envelopes - A Preliminary Report
- A QKD Protocol Extendable to Support Entanglement and Reduce Unauthorized Information Gain by Randomizing the Bases Lists with Key Values and Invalidate Explicit Privacy Amplification
- On Quantum Interference: No Decoherence From an Actual Movable Mirror
- A note on the short-time quantum propagator
- Understanding correlation between two bound state electrons using a simple model
- General solution of the Dirac equation with the Coulomb potential
- Relativistic Ideal Clock
- Duality and Cosmology
- Structural reducibility of multilayer networks
- Action and Perception as Divergence Minimization
- Simulation electronic thermes of two atoms molecules
- A Mathematical Construction of an E6 Grand Unified Theory
- Beyond Purity and Mixtures in Categorical Quantum Mechanics
- The Prediction and Evidence for a New Particle - antiparticle Force and Intermediary Particle
- The Counterintuitive Universe
- Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative
- On The Peierls Interpretation of Quantum Mechanics
- Quantum Nonlocality and Indistinguishability
- On Hilbert's sixth problem
- Two types of proton-electron atoms in a vacuum and an extremely strong magnetic field
- Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface
- Quantum dynamics of human decision-making
- Undergraduate Lecture Notes in Topological Quantum Field Theory
- On the wave nature of matter: A transition from classical mechanics to quantum mechanics
- Deformation quantization in the teaching of Lie group representations
- CSCO Criterion for Entanglement and Heisenberg Uncertainty Principle
- Eliminating ensembles from equilibrium statistical physics: Maxwell’s demon, Szilard’s engine, and thermodynamics via entanglement
- Review on spintronics: Principles and device applications
- Properties of the quasistationary universe in context of the Big-bang cosmology problems
- Principle of supplementarity: contextual probabilistic viewpoint to interference, complementarity and incompatibility
- Quantization of a one-dimensional time-dependent periodic system with Hamiltonian and constants of motion approaches
- The basis of quantum mechanics' compatibility with relativity--whose\n impairment gives rise to the Klein-Gordon and Dirac equations
- Two new type surface polaritons excited into nanoholes in metal films
- Relativity of spatial scale and of the Hubble flow: The logical foundations of relativity and cosmology
- How Random Is Quantum Randomness? An Experimental Approach
- Exterior and evolutionary skew-symmetric differential forms and their role in mathematical physics
- The mathematical structure of quantum real numbers
- Approximating Ground State Energies and Wave Functions of Physical Systems with Neural Networks
- Optimization of artificial flockings by means of anisotropy measurements
- Planck scale to Compton scale
- Generalized Lagrangians and spinning particles
- Mathematical Remarks on the Feynman Path Integral for Nonrelativistic Quantum Electrodynamics
- Dirac and the Path Integral
- A Matrix Factorization of Extended Hamiltonian Leads to N-Particle Pauli Equation
- REALITY AND GEOMETRY OF STATES AND OBSERVABLES IN QUANTUM THEORY
- Multilevel Bayesian Parameter Estimation in the Presence of Model Inadequacy and Data Uncertainty
- High Energy Effects of Noncommutative Spacetime Geometry
- Connections Between Special Relativity, Charge Conservation, and Quantum Mechanics
- Analogue Quantum Computers for Data Analysis
- Martin Löf - Solovay - Chaitin Axiom of Reduction versus Von Mises - Church Axiom of Reduction
- Localized Matter and Geometry of the Dirac Field
- A Theoretical Investigation Into Energy Transfer In Photosynthetic Open Quantum Systems
- Symmetry breaking in covalent chiral bond Hsub2, according to accurate vibrational levels from Kratzer bond theory
- Generalized Integrated Gradients: A practical method for explaining diverse ensembles
- Simple alternative model of the dual nature of light and its Gedanken experiment
- Hilbert Space Multi-dimensional Modeling
- The Rise of Quantum Mechanics
- The Green-function transform and wave propagation
- Bohrification: From classical concepts to commutative algebras
- Electron as Spatiotemporal Complexity due to Self-Organized Criticality
- Quantum observer and Kolmogorov complexity: a model that can be tested
- Graph Information Bottleneck
- A new view on quantum electrodynamics
- Formulation of the Classical Mechanics in the Ring of Operators
- Intrinsic Quantum Mechanics. Particle physics applications on U(3) and\n U(2)
- Epistemic nature of quantum reasoning
- Space of events and the time observable
- Transient nutations of an electron spin 1/2 with dipolar coupling to\n neighbouring nuclear spins
- Kadison-Singer from mathematical physics: An introduction
- On the a.c. spectrum of 1D discrete Dirac operator
- Z Theory and its Quantum-Relativistic Operators
- On Inverses of the Dirac Comb
- Is the Consequence of Superluminal Signalling to Physics Absolute Motion through an Ether?
- Historical pseudo simplified solution of the Dirac-Coulomb equation
- Quantum Mechanics in General Relativity
- Collapse of the Quantum Wavefunction
- Unitarity in one dimensional nonlinear quantum cellular automata
- Deterministic quantum correlation between coherently paired photons acting on a beam splitter
- Relativistic spinor equation of photon
- Gauge Boson Theory of Quantum State Reduction
- The Significance of Information in Quantum Theory
- Classical Structures in Quantum Mechanics and Applications
- Time Symmetric Quantum Theory Without Retrocausality? A Reply to Tim Maudlin
- Are the electron spin and magnetic moment parallel or antiparallel vectors?
- The axial field and quantum states of fermions in closed configurations
- Two-particle model with noncommuting operators of coordinates and momenta
- Measuring Consciousness
- A principle of quantumness
- Realistic model for radiation-matter interaction
- Negative Gilbert damping in cavity optomagnonics
- Ternary Representation of Stochastic Change and the Origin of Entropy\n and Its Fluctuations
- Transformable Soft Quantum Device based on Liquid Metals with Sandwiched Liquid Junctions
- An impact of the metrics probabilistic distributions on the spatial geometry of the universe in quantum model
- The Lorentz-Dirac and Dirac Equations
- Quantum Gravity and a Time Operator in Relativistic Quantum Mechanics
- On The Possibilities For Superluminal Signalling
- The quantum character of physical fields. Foundations of field theories
- On the Nature of Quantum Phenomena
- Finite Mathematics, Finite Quantum Theory and Applications to Gravity and Particle Theory
- Quantum Bayesian networks with application to games displaying\n Parrondo's paradox
- Generalized Dirac bracket and the role of the Poincaré symmetry in the program of canonical quantization of fields 1
- Supersymmetry : A new organizing principle for the microworld?
- Transition From Quantum To Classical Mechanics As Information Localization
- SL(3|N) Wigner quantum oscillators: examples of ferromagnetic-like oscillators with noncommutative, square-commutative geometry
- The unfolded universe of elementary particles. A geometric explanation\n of the standard model structure
- Electron wave-functions in a magnetic field
- Neutron to proton mass difference, parton distribution functions and baryon resonances from dynamics on the Lie group u(3)
- More on an exactly solvable position-dependent mass Schroedinger equation in two dimensions: Algebraic approach and extensions to three dimensions
- Reduction of the canonical Hamiltonian of the metric GR to its natural\n form
- Massless states and negative mass states of the coupled electron-positron system with completely symmetric representation of the particles
- Wave-Particle Duality Revitalized: Consequences, Applications and Relativistic Quantum Mechanics
- Quantum electrodynamic theory of the cardiac excitation propagation I: construction of quantum electrodynamics in the bidomain
- Star Products that can not be induced by Drinfel'd Twists
- The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach
- `Quantum probabilities' as context depending probabilities
- Spin foams, causal links and geometry-induced interactions
- Duality violation from a grating
- A Critical Discussion About The Methodology Of Quantum Theory
- A search for the minimal unified field theory. I. Parallel transport of Dirac field
- Group Theoretical Description of Space Inversion, Time Reversal and Charge Conjugation
- Algorithm of Reduction
- The Cornell confining potential from spontaneous breaking of scale symmetry
- Study of the magnetic anisotropy in a planar model of the La2CuO4
- A quantum number theory
- Realism-Completeness-Universality interpretation of quantum mechanics
- Gluing I: Integrals and Symmetries
- Connectivity and the Origin of Inertia
- Quantum mechanics over sets
- Exotic and Non-Exotic Baryon Properties on the Light Cone
- Quantum Mechanical Probability of Electrodynamic Particle(s)
- Partial Quantum Coherence, Ultrashort Electron Pulse Statistics, and a Plasmon-Enhanced Nanotip Emitter Based on Metallized Optical Fibers
- Quantum statistics via perturbation effects of preparation procedures
Related