* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Copenhagen Interpretation
Tight binding wikipedia , lookup
Canonical quantization wikipedia , lookup
Orchestrated objective reduction wikipedia , lookup
History of quantum field theory wikipedia , lookup
Particle in a box wikipedia , lookup
Wheeler's delayed choice experiment wikipedia , lookup
Quantum teleportation wikipedia , lookup
Renormalization wikipedia , lookup
Relativistic quantum mechanics wikipedia , lookup
Renormalization group wikipedia , lookup
Wave function wikipedia , lookup
Symmetry in quantum mechanics wikipedia , lookup
Atomic orbital wikipedia , lookup
Quantum entanglement wikipedia , lookup
Atomic theory wikipedia , lookup
Electron configuration wikipedia , lookup
Quantum state wikipedia , lookup
Matter wave wikipedia , lookup
Probability amplitude wikipedia , lookup
Quantum electrodynamics wikipedia , lookup
Ensemble interpretation wikipedia , lookup
Bell's theorem wikipedia , lookup
Many-worlds interpretation wikipedia , lookup
Electron scattering wikipedia , lookup
Bell test experiments wikipedia , lookup
Wave–particle duality wikipedia , lookup
Hydrogen atom wikipedia , lookup
Theoretical and experimental justification for the Schrödinger equation wikipedia , lookup
Measurement in quantum mechanics wikipedia , lookup
Double-slit experiment wikipedia , lookup
Interpretations of quantum mechanics wikipedia , lookup
Copenhagen interpretation wikipedia , lookup
EPR paradox wikipedia , lookup
Quantum Mechanics & the Nature of Matter, Motion and Reality Erwin Schroedinger : 1926 y Describes the mechanics of electron behavior within (and outside of) atoms. e- MEASUREMENT SCREEN Electron Double Slit Experiment e- MEASUREMENT SCREEN Electron Double Slit Experiment e- MEASUREMENT SCREEN Electron Double Slit Experiment e- MEASUREMENT SCREEN Electron Double Slit Experiment e- MEASUREMENT SCREEN Electron Double Slit Experiment e- MEASUREMENT SCREEN Electron Double Slit Experiment How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN Electron Double Slit Experiment How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Bourne Interpretation How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation y 1926 : Born Interpretation A Schroedinger wave function describes the PROBABILITY of a measurement returning certain results. y 1926 : Born Interpretation A Schroedinger wave function describes the PROBABILITY of a measurement returning certain results. ??? y 1926 : Born Interpretation 12 11 10 9 1/36 2/36 3/36 4/36 8 6/36 7 10/36 6 16/36 5 4 3 2 4/36 3/36 2/36 1/36 How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation How does the spread out electron wave collapse to a single point upon measurement by the screen? e- MEASUREMENT SCREEN 1926 : Born Interpretation y 1926 : Born Interpretation ? ? ? ? ? ? ? 1925 : Heisenberg’s Matrix Mechanics Formulates a mathematical description of the atom which completely rejects any non-measurable reality. 1925 : Heisenberg’s Matrix Mechanics Formulates a mathematical description of the atom which completely rejects any non-measurable reality. Uncertainty Principle There exist paired quantities… the combined uncertainty of which will remain above a set level. MOMENTUM vs. POSITION ENERGY CONTENT vs. TIME (Δp?)(Δx?) > h/4p The Copenhagen Interpretation Wave-functions describe the existence of probabilistic mixtures of physical quantities. Any reality ascribed to nature beyond this is false conjecture. 1927 : Fifth Solvay Conference - Brussels 1927 : Fifth Solvay Conference - Brussels Schroedinger Compton deBroglie Heisenberg Born Planck Curie Lorentz Einstein Bohr The Copenhagen Interpretation A Schroedinger wave function describes the PROBABILITY of a measurement returning certain results. e- Einstein’s Objection The electron’s path must be deterministic and hidden… the quantum theory must be INCOMPLETE. e- Einstein’s Objection The electron’s path must be deterministic and hidden… the quantum theory must be INCOMPLETE. e“However… I am not convinced. God does not play dice.” Einstein vs. Bohr Einstein vs. Bohr Einstein-Podolsky-Rosen Paper : 1935 EPR Paradox : 1935 EPR Paradox : 1935 • Quantum mechanics is incomplete. • Demanded a world of real, deterministic, local physics. EPR Paradox : 1935 • Quantum mechanics is incomplete. • Demanded a world of real, deterministic, local physics. INTERACTION position = 12 momentum = 9 EPR Paradox : 1935 • Quantum mechanics is incomplete. • Demanded a world of real, deterministic, local physics. Property A position: 10 momentum: ? INTERACTION position = 12 momentum = 9 Property B position: ? momentum: 3 EPR Paradox : 1935 • Quantum mechanics is incomplete. • Demanded a world of real, deterministic, local physics. Property A position: 10 momentum: ? INTERACTION position = 12 momentum = 9 Property B position: ? momentum: 3 ? • Instantaneous communication would be necessary. EPR Paradox : 1935 • Quantum mechanics is incomplete. • Demanded a world of real, deterministic, local physics. Property A position: 10 momentum: ? INTERACTION position = 12 momentum = 9 Property B position: ? momentum: 3 ? • Instantaneous communication would be necessary. • Requires the existence of local interaction only. • If QM is correct… non-local interaction must be real. Bell’s Inequality: 1964 Property A position: 10 momentum: ? INTERACTION position = 12 momentum = 9 Property B position: ? momentum: 3 ? • Bell’s Theorem provides a manner in which to test for the existence of EPR hidden variables.