Quantum Equations Flashcards

1
Q

Energy of a photon

A
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2
Q

Photoelectric effect equation to determine energy of electrons escaping

A
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3
Q

Relation between the wavenumber and the momentum of a particle

A
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4
Q

de Broglie wavelength

A
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5
Q

Heisenbergs Uncertainty Principle

What does it tell us?

What is the intuitive explanation?

A

The more we improve the accuracy of measuring the position of some particle, the more we lose the accuracy of measuring its momentum, and vice versa.

When you increase the accuracy of identifying the position of particles x (i.e. ∆x becomes smaller), the uncertainty of momentum ∆p becomes greater.

When we try to decrease ∆x, we have to add more and more plane waves with different wevevectors. This effectively means that the distribution of k will be widen, leading to the increase of ∆k (∝ ∆p). That says, we cannot decrease both ∆x and ∆p at the same time as long as electrons are waves.

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6
Q

Solving the time-dependent Schrödinger equation

A
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7
Q

Fermi Energy Equation

A
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8
Q

ratios of reflected jr, and transmitted jt , particle fluxes to the incident flux jin:

A
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9
Q

Calculate fluxes, j

A
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10
Q

Equation to determine momentum of electron moving between boxes of diferrent electrostatic potential.

A
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11
Q

Mathematically what is Δx defined as?

A
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12
Q

What is the equation for Δp?

A
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13
Q

How much is an angstrom?

A
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