physical chemistry

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Author:
stu90
ID:
97334
Filename:
physical chemistry
Updated:
2011-08-17 14:50:16
Tags:
quantum mechanics physical chemistry
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Description:
true/false quiz for quantum mechanics basic course
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  1. Psi(x, t) has no direct physical meaning
    true
  2. The kinetic energy of a wavefunction is related to its curvature
    true
  3. For a general one-dimensional wavefunction Psi(x), the wavevector |Psi> is
    infinite-dimensional
    true
  4. Given a general wavefunction Psi(x,t) and two compatible observables, Aˆ and
    Bˆ , any measurement of Bˆ yields the same result as a measurement of Aˆ and then Bˆ
    false
  5. According to the uncertainty principle, if sigma_x is very large, then the momentum is well determined
    false
  6. The Psin ’s for the quantum harmonic oscillator go to zero at the classical turning points, that is Psin(x)=0 when V(x)=En, where V(x) is the harmonic potential
    false
  7. For a free particle, [Hˆ, pˆ] = 0
    true
  8. If a single particle approaches a potential barrier, its wavefunction is always
    completely transmitted if it has kinetic energy above the height of the barrier
    false
  9. Stationary states have a probability density that does not change with time
    true
  10. Psi(x, t) can be both positive and
    negative
    true
  11. When we measure the energy of a quantum
    harmonic oscillator we always get one of its eigenvalues, En .
    true
  12. For a one-dimensional wavefunction
    <x>, the wavevector psi is always one dimensional
    false
  13. For an ensemble of identically prepared
    quantum mechanical particles, if <x>=0 then <p>=0
    true
  14. In quantum mechanics, two wavefunctions
    are always orthogonal
    false
  15. In quantum mechanics, sometimes the
    measurement of an observable never yields the expectation value of that
    observable
    true
  16. The uncertainty principle allows us to
    measure the position of a quantum mechanical particle exactly
    true
  17. If a single quantum mechanical particle
    approaches a potential barrier, its wavefunction can be both reflected and
    transmitted at the same time
    true
  18. The function exp(kx) with k real and
    positive is in Hilbert space
    false
  19. For an electron, the value s can be +,-1/2
    false
  20. In quantum mechanics, an electron and proton are always distinguishable
    true
  21. the Pauli exclusion principle applies to both fermions and boson
    false
  22. It is possible to have the following term symbol for a multielectron atomic state 1D1
    false
  23. If we know a wavefunction near one atom in a solid, Bloch's theorem allow us to know this wavefunction at the equivalent position near every other atom within the solid
    true
  24. the variational principle allows one to minimize the ground state energy by varying H^'
    false
  25. In a multielectron atoms, he 3p orbitals are lower in energy than the 4s orbitals
    true
  26. for two identical fermions, the spatial component of the overall wavefunction must be antisymmetric with respect to exchange
    false
  27. for a single-particle system with a spherically symmetric potential, the eigenfunctions of H^will involve the spherical harmonics
    true
  28. L^2 and L^x are compatible observables
    true
  29. the term symbol for an atomic state with J=2, L=1, and S=0 is 1D1
    false
  30. for an electron, the general spin tate can be represented by the column vector (a b)'
    true
  31. for multielectron atoms, the energy of the single-particle states only depends on n
    false
  32. In our mathematical treatment of the hydrogen atom, the potential energy function only affected the radial equation
    true
  33. perturbation theory is mostly concerned with the calculation of the ground state energy
    false
  34. semiconductors have band gaps, but insulators do not
    false
  35. Bloch's theorem states that the wavefunction in a solid is the same for each atom in the solid
    fasle
  36. the electron has a spin angular momentum because it is rotating in space
    false

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