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- Probability_amplitude abstract "In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the \"Born probability\". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.".
- Probability_amplitude thumbnail Hydrogen_eigenstate_n5_l2_m1.png?width=300.
- Probability_amplitude wikiPageExternalLink 1954.
- Probability_amplitude wikiPageID "429425".
- Probability_amplitude wikiPageLength "27254".
- Probability_amplitude wikiPageOutDegree "150".
- Probability_amplitude wikiPageRevisionID "704977050".
- Probability_amplitude wikiPageWikiLink Absolute_value.
- Probability_amplitude wikiPageWikiLink Albert_Einstein.
- Probability_amplitude wikiPageWikiLink Almost_surely.
- Probability_amplitude wikiPageWikiLink Argument_(complex_analysis).
- Probability_amplitude wikiPageWikiLink Atom_(measure_theory).
- Probability_amplitude wikiPageWikiLink Atomic_emission_spectroscopy.
- Probability_amplitude wikiPageWikiLink Atomic_orbital.
- Probability_amplitude wikiPageWikiLink Born_rule.
- Probability_amplitude wikiPageWikiLink Bra–ket_notation.
- Probability_amplitude wikiPageWikiLink Category:Concepts_in_physics.
- Probability_amplitude wikiPageWikiLink Category:Particle_statistics.
- Probability_amplitude wikiPageWikiLink Category:Quantum_measurement.
- Probability_amplitude wikiPageWikiLink Category:Quantum_mechanics.
- Probability_amplitude wikiPageWikiLink Commutator.
- Probability_amplitude wikiPageWikiLink Complex_number.
- Probability_amplitude wikiPageWikiLink Composite_quantum_system.
- Probability_amplitude wikiPageWikiLink Conditional_probability.
- Probability_amplitude wikiPageWikiLink Configuration_space.
- Probability_amplitude wikiPageWikiLink Continuity_equation.
- Probability_amplitude wikiPageWikiLink Copenhagen_interpretation.
- Probability_amplitude wikiPageWikiLink Degenerate_energy_levels.
- Probability_amplitude wikiPageWikiLink Diagonal_matrix.
- Probability_amplitude wikiPageWikiLink Dimension_(vector_space).
- Probability_amplitude wikiPageWikiLink Dimensional_analysis.
- Probability_amplitude wikiPageWikiLink Direct_product.
- Probability_amplitude wikiPageWikiLink Double-slit_experiment.
- Probability_amplitude wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Probability_amplitude wikiPageWikiLink Electron.
- Probability_amplitude wikiPageWikiLink Erwin_Schrödinger.
- Probability_amplitude wikiPageWikiLink Free_particle.
- Probability_amplitude wikiPageWikiLink Function_space.
- Probability_amplitude wikiPageWikiLink Fundamental_frequency.
- Probability_amplitude wikiPageWikiLink Hilbert_space.
- Probability_amplitude wikiPageWikiLink Hue.
- Probability_amplitude wikiPageWikiLink Hydrogen_atom.
- Probability_amplitude wikiPageWikiLink Independence_(probability_theory).
- Probability_amplitude wikiPageWikiLink Indexed_family.
- Probability_amplitude wikiPageWikiLink Inner_product_space.
- Probability_amplitude wikiPageWikiLink Integral.
- Probability_amplitude wikiPageWikiLink Interference_(wave_propagation).
- Probability_amplitude wikiPageWikiLink Interpretations_of_quantum_mechanics.
- Probability_amplitude wikiPageWikiLink Lebesgue_measure.
- Probability_amplitude wikiPageWikiLink Linear_combination.
- Probability_amplitude wikiPageWikiLink M-theory.
- Probability_amplitude wikiPageWikiLink Manifold.
- Probability_amplitude wikiPageWikiLink Markov_chain.
- Probability_amplitude wikiPageWikiLink Mass.
- Probability_amplitude wikiPageWikiLink Matrix_element_(physics).
- Probability_amplitude wikiPageWikiLink Matter_wave.
- Probability_amplitude wikiPageWikiLink Max_Born.
- Probability_amplitude wikiPageWikiLink Measurable_function.
- Probability_amplitude wikiPageWikiLink Measurement_in_quantum_mechanics.
- Probability_amplitude wikiPageWikiLink Motion_(physics).
- Probability_amplitude wikiPageWikiLink Multiplication.
- Probability_amplitude wikiPageWikiLink Mutual_exclusivity.
- Probability_amplitude wikiPageWikiLink Nanometre.
- Probability_amplitude wikiPageWikiLink Nobel_Prize_in_Physics.
- Probability_amplitude wikiPageWikiLink Normed_vector_space.
- Probability_amplitude wikiPageWikiLink Observable.
- Probability_amplitude wikiPageWikiLink One-dimensional_space.
- Probability_amplitude wikiPageWikiLink Operator_(physics).
- Probability_amplitude wikiPageWikiLink Orthonormal_basis.
- Probability_amplitude wikiPageWikiLink Outer_product.
- Probability_amplitude wikiPageWikiLink Particle_in_a_box.
- Probability_amplitude wikiPageWikiLink Path_integral_formulation.
- Probability_amplitude wikiPageWikiLink Phase_space_formulation.
- Probability_amplitude wikiPageWikiLink Photon.
- Probability_amplitude wikiPageWikiLink Polarization_(waves).
- Probability_amplitude wikiPageWikiLink Position_and_momentum_space.
- Probability_amplitude wikiPageWikiLink Position_operator.
- Probability_amplitude wikiPageWikiLink Potential_energy.
- Probability_amplitude wikiPageWikiLink Probability.
- Probability_amplitude wikiPageWikiLink Probability_axioms.
- Probability_amplitude wikiPageWikiLink Probability_current.
- Probability_amplitude wikiPageWikiLink Probability_density_function.
- Probability_amplitude wikiPageWikiLink Probability_distribution.
- Probability_amplitude wikiPageWikiLink Probability_measure.
- Probability_amplitude wikiPageWikiLink Product_measure.
- Probability_amplitude wikiPageWikiLink Quantum_entanglement.
- Probability_amplitude wikiPageWikiLink Quantum_eraser_experiment.
- Probability_amplitude wikiPageWikiLink Quantum_field_theory.
- Probability_amplitude wikiPageWikiLink Quantum_harmonic_oscillator.
- Probability_amplitude wikiPageWikiLink Quantum_mechanics.
- Probability_amplitude wikiPageWikiLink Quantum_state.
- Probability_amplitude wikiPageWikiLink Quantum_superposition.
- Probability_amplitude wikiPageWikiLink Quantum_system.
- Probability_amplitude wikiPageWikiLink Radon–Nikodym_theorem.
- Probability_amplitude wikiPageWikiLink Real-valued_function.
- Probability_amplitude wikiPageWikiLink Real_line.
- Probability_amplitude wikiPageWikiLink Real_number.
- Probability_amplitude wikiPageWikiLink Rectangular_potential_barrier.
- Probability_amplitude wikiPageWikiLink Richard_Feynman.
- Probability_amplitude wikiPageWikiLink Row_and_column_vectors.
