5 postulates

Question 1

Postulate 1

Answer 1

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

Question 2

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

Answer 2

Postulate 1

Question 3

orthorombic wave functions

Answer 3

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

Question 4

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

Answer 4

orthorombic wave functions

Question 5

Orthonormal

Answer 5

the function(s) are both normalized and ortorombic

Question 6

the function(s) are both normalized and ortorombic

Answer 6

Orthonormal

Question 7

how to determine probabilities when the function is Orthonormal.

Answer 7

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

Question 8

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

Answer 8

how to determine probabilities when the function is Orthonormal.

Question 9

Postulate 2

Answer 9

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

Question 10

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

Answer 10

Postulate 2

Question 11

hermitian operant

Answer 11

an eigenfunction that alwasy gives a real eigenvalue

Question 12

an eigenfunction that alwasy gives a real eigenvalue

Answer 12

hermitian operant

Question 13

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

Answer 13

Eigenfunction

Question 14

Eigenfunction

Answer 14

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

Question 15

Eigenvalue

Answer 15

the valiue multiplying the wavefunction after competing an eigenfunction

Question 16

the valiue multiplying the wavefunction after competing an eigenfunction

Answer 16

Eigenvalue

Question 17

OPerator for position

Answer 17

x*wavefunction

Question 18

x*wavefunction

Answer 18

Operator for position

Question 19

Operator for 1d momentum

Answer 19

-iħ(d/dx)* wavefunction

Question 20

-iħ(d/dx)* wavefunction

Answer 20

Operator for 1d momentum

Question 21

Operator for kinetic energy

Answer 21

-ħ^2/2m d^2/dx^2

Question 22

-ħ^2/2m d^2/dx^2

Answer 22

Operator for kinetic energy

Question 23

Postulate 3

Answer 23

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

Question 24

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

Answer 24

Postulate 3

Question 25

if a wavefunction is an eigenvalue of the operator

Answer 25

we will always measure the same value if

Question 26

we will always measure the same value if

Answer 26

if a wavefunction is an eigenvalue of the operator

Question 27

If a wavefunction is not an eigenvalue of the operator

Answer 27

we will measure one of several different values if

Question 28

we will measure one of several different values if

Answer 28

If a wavefunction is not an eigenvalue of the operator

Question 29

Postulate 4

Answer 29

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)

Question 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)

Answer 30

Postulate 4

Question 31

The average of all measurements of A

Answer 31

<a>=sum(|c|^2a) where A is one of the possible eigenvalue measurments, and c is the coeficient for the probability of that measurement.</a>

Question 32

<a>=sum(|c|^2a) where A is one of the possible eigenvalue measurments, and c is the coeficient for the probability of that measurement.</a>

Answer 32

The average of all measurements of A

Question 33

commutive operators

Answer 33

measuring the wavefunction with one operator will not signifcantly change the wavefunction to measure the other operators

Question 34

measuring the wavefunction with one operator will not signifcantly change the wavefunction to measure the other operators

Answer 34

commutive operators

Question 35

physical commutive propery

Answer 35

we can determine both properties of the particle at the same time

Question 36

non-comutive functions

Answer 36

measuring one value changes the function, so we cannot determine both at once, this is what causes the uncertainty principle.

Question 37

measuring one value changes the function, so we cannot determine both at once, this is what causes the uncertainty principle.

Answer 37

non-comutive functions

Question 38

Determining if two functions are commutive

Answer 38

if P[T𝟁(x)]-T[P𝟁(x)]=0 than the two opperators are commutive.

Question 39

Postulate 5

Answer 39

schrodinger’s equation governs the change in an equation over time

Question 40

schrodinger’s equation governs the change in an equation over time

Answer 40

Postulate 5