**QUANTUM MECHANICS: FUNDAMENDALS**

*Kurt Gottfried & Tung-Mow Yan*

Quantum Mechanics: Fundamentals, by Kurt Gottfried and Tung-Mow Yan, 2nd edition (2003), Springer Verlag, ISBN 0-387-95576-3.

*ERRATA*

We thank all the readers who have sent us errata, which are
complete as of June 2016. Here “complete” means errata that are substantial and
not trivial typos or simple grammatical mistakes, which unfortunately are all
too common. However, we have collected all the corrections to these trivial
typos at the end of the errata page. This is in sharp contrast with the 1^{st},
1966, edition, which was copy-edited, a service that publishers no longer
provide. Some of these errata have been corrected in the soft cover 2004
edition.

We often flag errata by **N.M**,
where N stands for page number and M for decimal fraction from the top of the
page.

**Chapter 2**

**29 **Eq. 4; replace u by u* _{}

**37 **Eq. 70;_{}_{} in integrand

**56 **Eq. 174; RHS should read _{}

**57 ** Eq. 177; in exponent _{}

**57** Eq. 184; in last integral _{}

**59 **Eqs. 201 &
202; LHS, _{}

**79** Eq. 326; in central expression subscript *i** *on *V*

**85 **Eq. 361; replace with on LHS.

**87 **Eq. 373; replace with on LHS.

**93** Eq. 414; after first double commutator should be _{}

**102 **Caption to
Fig. 2.5. Vertical and horizontal axes are resp. _{}

**109 **Prob. 1;
inequality should be _{}

**110** Prob. 10,
minus sign on RHS

**112 **We were unaware of the important paper by Lowell S. Brown, “The
Classical Limit and the WKB Approximation,” *Am.
J. Phys. ***40,** 371 (1972)

**Chapter 3**

**113**
Above Eq. 1; replace 2.5(c) with 2.5(d).

**115**
Above Eq. 19; replace 2.5(c) with 2.5(d).

**116**
Eq. 24; on RHS _{}

**119**
Eq. 44 Replace By

**123**
Below Eq. 74; replace 2.5(c) with 2.5(d).

**124**
Eq. 81; _{}

**130**
Eq. 112; RHS _{}

**130**
Remove footnote 2 (there is nothing in the appendix about the
radial functions)

**137**
Eq. 166; _{}

**140** Above Eq. 183:

**141 **Eq.
186: replace _{} in first and third LHS
by _{} respectively

**144 **Eq.
214; _{}

**145**
Four lines below Eq. 218:

**151**
Above Eq. 258: _{}_{}

**154.1 **splittings
vanish

**155** Eq. 276; replace Δ with 0.

**Chapter 4**

**166**
Eq. 4; _{}

**169**
Eq. 16; RHS … _{}

**170**
Eq. 18; in RHS _{}

**175 **Eq.
70; RHS is missing overall minus sign

**184 **Very
last expression should read … 2.2(e)

**196**
Above Eq. 228; replace 4.2(c) with 4.2(d).

**229** Problem 12, replace by in integral.

**Chapter 5**

**238 **Eq. 21; should read length: …. _{}

**246 **Eq.
84: in RHS remove overall minus sign

**253.2 **remove minus sign in argument of second _{}

**253**
Eqs. 120 & 123: remove _{} on LHS;

**253**
Eq. 123; RHS is expectation value, _{}

**263.4** RHS of 1^{st} Eq. is _{} Ry

**263.5** … charge density _{}, and in following equation _{}

**Chapter 6**

**270.1
**For *any* antisymmetric … of the form (4) …

**270**
Eq. 8, LHS; argument of *Y*
is (**r**)

**272 **in last line should read 3.7(e)

**Chapter 7**

**318**
Line below Eq. 220: _{}

**323**
Two lines above Eq. 250; replace ‘Clebsch-Gordon’
with ‘Clebsch Gordan’.

**325**
In 1st 3-j symbols in 1st line of Eq. 260, _{} should not be primed

**Chapter 8**

**338** 1^{st} line should read … from
comparing (4) & (5) with (2):

**339** Above Eq. 22; Replace ‘Sterling’s
formula’ with ‘Stirling’s formula’.

**350** Integrand in Eq. 99 should read _{}

**359** Eq. 156: first factor on RHS should be
_{}, where _{} is

Planck’s constant divided by _{}.

**394 **Eq.
358: fraction in first term should be _{}

**Chapter 9**

**418 **In
line below Eq. 95, should read … 8.2(d)

**Chapter 10**

**443**
Eqs. 40 – 43, exponential should all be
_{}

**445 **Last
paragraph should read ‘the spin only has a component along the direction of
motion’ rather than ‘the spin has no component…’.

**446**
Eq. 59; same error as on p. 443

**449**
Eq. 72; RHS missing minus sign

**450** Eq. 77; same arror
as on p. 443

**459.7**
does not hold for … _{}

**471**
Eq. 191: complex conjugate
second _{}

**486.5** multipole
of … transition connecting

**501** last line should read M.S. Zubairy,
and be corrected in Index

**Chapter 11**

**505.8** the statement that *all integer spin particles …*

**506 **In
footnote delete “and by Jordan and Klein”

**509**
Below Eq. 25; Replace ‘commutation rule (14)’ with ‘commutation
rule (20)’.

**513**
Eq. 53; replace with

**Chapter 12**

**547.7 **Line starting with “projection”
should read “1 along ”

**547** Above Eq. 17; Replace (5) with (15).

**549, 550 Eqs**.
26-28; reverse order of arguments for ,
e.g. replace with .

**564** Remove second sentence from footnote,
starting with ‘Fig. 12.2’.

**569 **Fig. 12.6, in line above LH plot,
should read _{}

**571.5** 3 lines below Eq. 111, should read
Fig. 12.7

**574.8 **In Prob. 3, above equation, should
read _{}

**Chapter 13**

**586**
Eq. 64; remove _{} inside (…)

**595**
Eq. 144; plus sign before _{}

**597** line above Eq. 155, should read
“along the *z* –
axis”

**Index**

**613
** Replace Green’’s
with Green’s.

**614** Replace Kramer’s with Kramers.

**620** Replace Zubarry
with Zubairy.

**Grammatical Errors & Trivial Typos**

**39 **Replace ‘thought’ with ‘though’ in
paragraph directly below **2.2**
heading.

**49** Remove word ‘the’ in line above Eq. 128.

**57 **Remove word ‘the’ in line above Eq.
182.

**83** Replace ‘transformation’ with ‘transformations’
four lines above Eq. 350.

**118** Remove second ‘the’ on third line to
read ‘All the spherical harmonics…’.

**123** Remove ‘the’ five lines below Eq. 75.

**159** Remove second ‘integral’ beneath Eq.
307.

**173 **Remove second ‘the’ beneath Eq.
53.

**182** Replace ‘a’ with ‘an’ five lines
beneath Eq. 131.

**203** Replace with ‘The Green’s function…’
three lines above Eq. 271.

**213** Replace ‘correspond’ with
‘corresponds’ two lines below Eq. 317.

**214** Replace ‘transients’ with ‘transient’
in item 2.

**216** Replace ‘measure’ with ‘measured’ in
second paragraph.

**224 **Replace ‘then’ with ‘than’ above
Eq. 373.

**228 **In Problem 1, replace ‘for which
is goes through as is’ with ‘for which it goes through as is’.

**265** Problem 12 (a): Insert ‘be’ in ‘…
states can be found by diagonalizing’.

**271
** Replace ‘a’ with ‘an’ in ‘For
example, if the interaction is an attractive potential…’ in the second
paragraph.

**292** Below Eq. 56; replace ‘Kramer’s
theorem’ with ‘the Kramers degeneracy theorem’.

**322** Replace ‘an’ with ‘and’ below Eq. 241
to read ‘… tensor operators of both higher and lower rank.’

**354
** Add ‘s’ to ‘appears’ in ‘The
eigenvalue continuum also appears…’ in final paragraph of **8.2(c)**.

**354
** Remove second ‘in’ in ‘This
is evident in in the case…’ in same paragraph.

**424** Add ‘is’ in ‘… in 8.7 we learned that
this is a relatively straightforward problem’ in paragraph above **9.3**.

**440** Replace ‘chose’ with ‘chosen’ below
Eq. 16.

**448** Add ‘s’ in ‘results’, last paragraph
before **(d)**.

**464** Above Eq. 149, add ‘the’ to ‘… is the
sum over all states…’

**474 **Below Eq. 214, replace
‘correlations’ with ‘correlation’.

**497** Replace ‘faster that…’ with ‘faster
than…’ in Problem **7**.

**540** Remove second ‘can’ in first sentence
of final paragraph.

**541** Replace ‘not’ with ‘nor’ in footnote
1: ‘… nor do the ’.

**547** Replace . with
· (full stop with dot) above Eq. 17.

**560** Below Eq. 74; remove first ‘at’
(should be ‘… the incident packet arrives at …’.

**565** At start of second paragraph, replace
‘conclusion’ with ‘conclusions’.

**573** Above Eq. 119; add ‘is’ so that it
reads ‘If this is indeed so…’.

**578 **In penultimate paragraph on the
page, remove ‘a’ from sentence to read ‘… he assigned the negative energy
solutions to positive energy states…’.

**581** Below Eq. 20; add ‘be’ so that it
reads ‘… if space reflection is to be represented…’.

**585** Replace ‘they’ with ‘the’ between Eqs. 57 and 58, to read ‘… they could be described by just
one of the two Weyl spinors…’.

**607** Fix alignment for value of electron
Compton wavelength.