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quantum physics > Wavefunctions > Flashcards

Wavefunctions Flashcards

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1
Q

Born interpetation

A

The intensity of a quantum wave at a given point in space is proportional to the probability of finding the particle at that point by measurement.

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2
Q

The intensity of a quantum wave at a given point in space is proportional to the probability of finding the particle at that point by measurement.

A

Born interpetation

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3
Q

finding the probability that a particle will be in a certain area

A

integrate the squared wave equation over the are in questin

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4
Q

integrate the squared wave equation over the are in questin

A

finding the probability that a particle will be in a certain area

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5
Q

normalizing a wave function

A

a wave function, when the probability form infinity to negative infinity is found, can’t have a result higher than 1. If the result isn’t one then solve for a N^2 that will make it equal to 1

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6
Q

a wave function, when the probability form infinity to negative infinity is found, can’t have a result higher than 1. If the result isn’t one then solve for a N^2 that will make it equal to 1

A

normalizing a wave function

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7
Q

requirments for born interpetaion

A

no jumping to infinity, no more than one value per space, and both the equation and it’s derivative must be continuous.

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8
Q

no jumping to infinity, no more than one value per space, and both the equation and it’s derivative must be continuous.

A

requirments for born interpetaion

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9
Q

wave packet

A

a representation of the area where a quantum partical could be. Marking one spot makes it look like a clasical particle.

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10
Q

a representation of the area where a quantum partical could be. Marking one spot makes it look like a clasical particle.

A

wave packet

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11
Q

equation for a particle in a box

A

𝟁(x)=sqrt(2/a)sin((nπx)/a)

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12
Q

𝟁(x)=sqrt(2/a)sin((nπx)/a)

A

equation for particle in a box

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13
Q

Purpose of n in the box’ed particle equation.

A

The edges of the box must equal zero, so only certain energy states can be used

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14
Q

The edges of the box must equal zero, so only certain energy states can be used

A

Purpose of n in the box’ed particle equation.

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15
Q

zero point energy

A

the lowest energy state (n) a particle in a box can occupy, can’t actualy be 0

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16
Q

the lowest energy state (n) a particle in a box can occupy, can’t actualy be 0

A

Zero point energy

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17
Q

to find the probability in a particle being in a certain part of the box

A

integrate psi squared from 0 to target

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18
Q

integrate psi squared from 0 to target

A

to find the probability in a particle being in a certain part of the box

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19
Q

Everything is in a box

A

in the real universe, everything is under some sort of constraint

20
Q

in the real universe, everything is under some sort of constraint

A

Everything is in a box

21
Q

Energy of a quantum step in a box

A

h^2n^2/8ma^2

22
Q

h^2n^2/8ma^2

A

Energy of a quantum step in a box

23
Q

scaling particle in a box to clasical

A

as the partigle grows it’s mass grows and the minimum size of the box also grows, since m and a^2 are on the bottom the gap between n’s shrinks to indistinguishable.

24
Q

as the partigle grows it’s mass grows and the minimum size of the box also grows, since m and a^2 are on the bottom the gap between n’s shrinks to indistinguishable.

A

scaling particle in a box to clasical

25
Q

When a particle hits an infinite barrier that it has enough energy to pass through

A

Transmittance is high, but the chance of reflection is never zero

26
Q

Transmittance is high, but the chance of reflection is never zero

A

When a particle hits an infinite barrier that it has enough energy to pass through

27
Q

transmittance for a high energy particle against an infinite barriar

A

T=(4k_2^2)/(k_1+k_2)^2 (where k is the wave vector magnitude)

28
Q

T=(4k_2^2)/(k_1+k_2)^2 (where k is the wave vector magnitude)

A

transmittance for a high energy particle against an infinite barriar

29
Q

Reflectance for a high energy particle against an infinite barriar

A

R=(k_1-k_2)^2/(k_1+k_2)^2 (where k is the wave vector magnitude)

30
Q

R=(k_1-k_2)^2/(k_1+k_2)^2 (where k is the wave vector magnitude)

A

Reflectance for a high energy particle against an infinite barriar

31
Q

When a particle hits an infinite barrier and doesn’t have enough energy to pass through

A

it will always be reflected, but it has a chance of penitrating into the barrier before turning around.

32
Q

it will always be reflected, but it has a chance of penitrating into the barrier before turning around.

A

When a particle hits an infinite barrier and doesn’t have enough energy to pass through

33
Q

when a particle with greter anergy than a barrier hit a non-infinite barriar

A

the particle still has a small chance of reflection, but it will most likely be transmitted to the other side, with the same waveleingth but different amplitude

34
Q

the particle still has a small chance of reflection, but it will most likely be transmitted to the other side, with the same waveleingth but different amplitude

A

when a particle with greter anergy than a barrier hit a non-infinite barriar

35
Q

Transmittance for a high energy particle and a non-infinite barriar

A

T=[1+(((sin^2(𝜒*√(ε -1))/(4ε (ε -1)))]^-1

36
Q

T=[1+(((sin^2(𝜒*√(ε -1))/(4ε (ε -1)))]^-1

A

Transmittance for a high energy particle and a non-infinite barriar

37
Q

Reflectance for a high energy particle and a non-infinite barriar

A

R=[1+(4ε (ε -1))/(sin^2(𝜒*√(ε -1))]^-1

38
Q

R=[1+(4ε (ε -1))/(sin^2(𝜒*√(ε -1))]^-1

A

Reflectance for a high energy particle and a non-infinite barriar

39
Q

value of epsilon

A

ε=E/V_o

40
Q

ε=E/V_o

A

value of epsilon

41
Q

value of Chi

A

𝜒=(a√2mV_o)/h

42
Q

𝜒=(a√2mV_o)/h

A

value of Chi

43
Q

Transmission resonance

A

when the energy of the particle is equal to specific values, transmitance is extremely high (1) becaue of resonance while inside the barriar

44
Q

when the energy of the particle is equal to specific values, transmitance is extremely high (1) becaue of resonance while inside the barriar

A

Transmission resonance

45
Q

Equation for Transmission resonance

A

E=V_o+(h^2n^2)/(8ma^2

46
Q

E=V_o+(h^2n^2)/(8ma^2

A

Equation for Transmission resonance

quantum physics (10 decks)

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