5 postulates Flashcards

1
Q

Postulate 1

A

A sum of all the particle’s behaviors can be represented by a wavefunction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

A sum of all the particle’s behaviors can be represented by a wavefunction

A

Postulate 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

orthorombic wave functions

A

two wave functions are orthorombic if they equal zero when multipleid (and one of them is the imaginary coeficient)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

two wave functions are orthorombic if they equal zero when multipleid (and one of them is the imaginary coeficient)

A

orthorombic wave functions

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Orthonormal

A

the function(s) are both normalized and ortorombic

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

the function(s) are both normalized and ortorombic

A

Orthonormal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

how to determine probabilities when the function is Orthonormal.

A

if the function s c*y than the probability of the partical being found in that range of locations is |c|^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

if the function s c*y than the probability of the partical being found in that range of locations is |c|^2

A

how to determine probabilities when the function is Orthonormal.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Postulate 2

A

by applying hermitian Operants to the wavefunction we can extract certain values

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

by applying hermitian Operants to the wavefunction we can extract certain values

A

Postulate 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

hermitian operant

A

an eigenfunction that alwasy gives a real eigenvalue

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

an eigenfunction that alwasy gives a real eigenvalue

A

hermitian operant

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

after completing the function, you get your input wavefunction as part of the output.

A

Eigenfunction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Eigenfunction

A

after completing the function, you get your input wavefunction as part of the output.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Eigenvalue

A

the valiue multiplying the wavefunction after competing an eigenfunction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

the valiue multiplying the wavefunction after competing an eigenfunction

A

Eigenvalue

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

OPerator for position

A

x*wavefunction

18
Q

x*wavefunction

A

Operator for position

19
Q

Operator for 1d momentum

A

-iħ(d/dx)* wavefunction

20
Q

-iħ(d/dx)* wavefunction

A

Operator for 1d momentum

21
Q

Operator for kinetic energy

A

-ħ^2/2m d^2/dx^2

22
Q

-ħ^2/2m d^2/dx^2

A

Operator for kinetic energy

23
Q

Postulate 3

A

when you take a measuremnt you can only mesure something that is an eigenvalue of the appropriate opportator.

24
Q

when you take a measuremnt you can only mesure something that is an eigenvalue of the appropriate opportator.

A

Postulate 3

25
if a wavefunction is an eigenvalue of the operator
we will always measure the same value if
26
we will always measure the same value if
if a wavefunction is an eigenvalue of the operator
27
If a wavefunction is not an eigenvalue of the operator
we will measure one of several different values if
28
we will measure one of several different values if
If a wavefunction is not an eigenvalue of the operator
29
Postulate 4
The probability of getting result A from a measurment of a wavefunction (where we apply operator Ahat) is given by |c|^2 (where c is added to the function for the purpose of weighting the probabilities)
30
The probability of getting result A from a measurment of a wavefunction (where we apply operator Ahat) is given by |c|^2 (where c is added to the function for the purpose of weighting the probabilities)
Postulate 4
33
commutive operators
measuring the wavefunction with one operator will not signifcantly change the wavefunction to measure the other operators
34
measuring the wavefunction with one operator will not signifcantly change the wavefunction to measure the other operators
commutive operators
35
physical commutive propery
we can determine both properties of the particle at the same time
36
non-comutive functions
measuring one value changes the function, so we cannot determine both at once, this is what causes the uncertainty principle.
37
measuring one value changes the function, so we cannot determine both at once, this is what causes the uncertainty principle.
non-comutive functions
38
Determining if two functions are commutive
if P[T𝟁(x)]-T[P𝟁(x)]=0 than the two opperators are commutive.
39
Postulate 5
schrodinger's equation governs the change in an equation over time
40
schrodinger's equation governs the change in an equation over time
Postulate 5