Textbook

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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
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Chap 1 - The Wave Function Chap 2 - The
Time-independent Schrödinger Equation Chap 3 -
Formalism in Hilbert Space Chap 4 - ????
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Quantum Mechanics
Chap 1 - The Wave Function
? Schrödinger equation
Classical mechanics
Newtons second law
wave function
time-depedent Schröinger equation
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Quantum Mechanics
? Statistical interpretation
Borns statistical interpretation
probability of finding the particle between x
and (xdx) at time t
? Probability
is probability density
The probability of infinite interval
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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
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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
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Quantum Mechanics

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


so
standard deviation in position
standard deviation in momentum