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Quantum Mechanics

YGK These Concepts from Quantum Mechanics

QuestionAnswer
Which quantum phenomenon restricts physical quantities to discrete values? Quantization.
Which atomic model shows electrons occupying discrete energy levels? The Bohr model.
Which physicist discovered energy quantization while studying blackbody radiation? Max Planck.
What name is given to discrete packets of electromagnetic energy? Photons.
Which quantity is proportional to a photon’s energy? Frequency.
Which constant relates photon energy to frequency? Planck’s constant.
Which symbol represents Planck’s constant? h.
Which constant equals Planck’s constant divided by 2π? Reduced Planck’s constant (ħ).
Which principle allows a quantum system to exist in multiple states simultaneously? Superposition.
Which interpretation states that a system in superposition is in neither state until measured? Copenhagen interpretation.
Which process forces a superposition into a single observed state? Wavefunction collapse.
Which thought experiment illustrates superposition using a macroscopic object? Schrödinger’s cat.
Which concept describes quantum systems behaving as both waves and particles? Wave–particle duality.
Which experiment demonstrated light’s wave behavior via interference? Young’s double-slit experiment.
Which effect showed that light behaves as particles when ejecting electrons? Photoelectric effect.
Which metal property determines the minimum energy needed to emit electrons? Work function.
Which physicist won the 1921 Nobel Prize for explaining the photoelectric effect? Albert Einstein.
Which experiment demonstrated electron wave behavior using a crystal lattice? Davisson–Germer experiment.
Which law predicts diffraction patterns for waves scattered by crystals? Bragg’s law.
Which wavelength describes the wave nature of matter? de Broglie wavelength.
Which principle limits simultaneous precision of certain variable pairs? Heisenberg uncertainty principle.
Which pair of quantities is most commonly associated with the uncertainty principle? Position and momentum.
Which constant appears in the uncertainty inequality? Planck’s constant.
Which mathematical tool rigorously proves the uncertainty principle? Fourier transform.
Which quantum states minimize uncertainty? Coherent states.
Which thought experiment uses optics to motivate the uncertainty principle? Heisenberg’s microscope.
Which intrinsic quantum property represents angular momentum without classical rotation? Spin.
Which experiment demonstrated quantized spin directions? Stern–Gerlach experiment.
Which particles have half-integer spin? Fermions.
Which particles have integer spin? Bosons.
What is the spin value of an electron? ±½.
What is the spin value of a photon? ±1.
Which phenomenon allows particles to cross classically forbidden barriers? Quantum tunneling.
Which physicist explained alpha decay using tunneling? George Gamow.
Which device maps atomic surfaces using tunneling current? Scanning tunneling microscope (STM).
Which stellar process relies on tunneling to overcome the Coulomb barrier? Nuclear fusion.
Which electronic component exhibits negative resistance due to tunneling? Esaki diode.
Which phenomenon links particle states regardless of distance? Quantum entanglement.
Which phrase did Einstein use to describe entanglement? “Spooky action at a distance.”
Which paradox highlighted nonlocal correlations in quantum mechanics? EPR paradox.
Which theorem rules out local hidden-variable theories? Bell’s theorem.
Which inequalities are violated by entangled particles? Bell’s inequalities.
Which experiment shows interference loss through measurement of entangled photons? Quantum eraser experiment.
Which principle forbids identical fermions from sharing a quantum state? Pauli exclusion principle.
Which property of fermions causes antisymmetric wavefunctions? Half-integer spin.
Which requirement forces paired electrons to have opposite spins? Pauli exclusion principle.
Which astrophysical pressure arises from the exclusion principle? Electron degeneracy pressure.
Which stellar object is stabilized by electron degeneracy pressure? White dwarf.
Which state of matter forms when bosons occupy the same ground state? Bose–Einstein condensate.
Which particles can occupy identical quantum states without restriction? Bosons.
Which temperature condition enables Bose–Einstein condensation? Near absolute zero.
Which element was used to create the first observed BEC? Rubidium-87.
Which physicists won the 2001 Nobel Prize for BEC research? Cornell, Wieman, and Ketterle.
Which mathematical object fully describes a quantum state? Wavefunction.
Which symbol represents the wavefunction? ψ or Ψ.
Which quantity is obtained by squaring the wavefunction? Probability density.
Which model uses sine-shaped wavefunctions confined by boundaries? Particle in a box.
Which condition ensures total probability equals one? Normalization.
Which integral enforces wavefunction normalization? ∫ψ*ψ dx = 1.
Which mathematical objects act on wavefunctions to yield observables? Operators.
Which operator corresponds to total energy? Hamiltonian.
Which mathematical structure represents operators in quantum mechanics? Matrices.
Which values correspond to measurable physical quantities? Eigenvalues.
Which vectors represent quantum states in matrix mechanics? Eigenvectors.
Which expression measures operator non-commutativity? Commutator.
Which notation represents a commutator? [A, B].
Which operator pair has a commutator equal to iħ? Position and momentum.
Which condition indicates simultaneous measurability? Zero commutator.
Which property results when an operator commutes with the Hamiltonian? Conservation.
Which classical construct is analogous to the commutator? Poisson bracket.
Which equation governs wavefunction evolution in time? Schrödinger equation.
Which form relates the Hamiltonian to energy eigenvalues? Time-independent Schrödinger equation.
Which form includes the time derivative of the wavefunction? Time-dependent Schrödinger equation.
Which theorem links quantum averages to classical motion? Ehrenfest’s theorem.
Which systems have exact Schrödinger solutions? Particle in a box, harmonic oscillator, hydrogen atom.
Which methods provide approximate solutions for complex systems? Perturbation theory, variational principle, WKB approximation.
Created by: divyap
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