1. 量子力學導論 Textbook Introduction to Quantum Mechanics / David J. Griffiths
Prentice Hall / 1995 
Reference
Principles of Quantum Mechanics
- as applied to chemistry and chemical physics
Donald D. Fitts
Cambridge University Press / 1999

2. 量子力學導論 Chap 1 - The Wave Function
Chap The Time-independent Schrödinger Equation
Chap Formalism in Hilbert Space
Chap 表象理論

3. Chap 1 - The Wave Function
Quantum Mechanics
Chap The Wave Function
► Schrödinger equation
Classical mechanics:
Newton’s second law :
wave function
time-depedent Schröinger equation :

4. Quantum Mechanics ► Statistical interpretation
Born’s statistical interpretation :
{ probability of finding the particle between x and (x+dx) at time t }
► Probability
is probability density
The probability of infinite interval :

5. Quantum Mechanics ► Normalization
(i) If is a solution , then is also a solution.
Normalized the wave function to determine the factor A
(ii) If the integral is infinite for some wave functions,
no factor to make it been normalizable.
The non-normalizable wave function cannot represent
particles.
(iii) the condition of wave function which can be normalizable

6. Quantum Mechanics ► Operator and expectation value (average / mean)
expectation value of position x :
expectation value of momentum :
operator x represent position;
operator represent momentum in x-direction.
■ all physics quantities can be written in terms of position
and momentum

7. Quantum Mechanics ► Heisenberg uncertainty principle
(proof ref. chap 3)
standard deviation
the variance of distribution, where
individual physics quantity

8. Quantum Mechanics so standard deviation in position
standard deviation in momentum