Quantum Mechanics

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Springer Science & Business Media, Jun 1, 2000 - Science - 760 pages
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Intended for a first-year graduate course in quantum mechanics, this text provides a thorough introduction to the subject. The first half of the book emphasizes bound-state problems. It begins with the familiar approach via differential equations and coordinate representations. A discussion of the factorization method and ladder operators for solving the eigenvalue problem leads naturally to the modern algebraic approach. Part II treats time-independent perturbation theory. The role of symmetry breaking in removing degeneracies is emphasized, but cases in which the first-order perturbation does not lead to the proper symmetry-adapted basis are also treated. Part III provides a detailed discussion of rotational symmetry and angular momentum, including the Wigner-Eckart theorem, and the matrix elements of the general rotation operator and of vector-coupled tensor operators in terms of angular momentum recoupling coefficients. It includes a chapter on the SO (2,1) algebra of a stretched Coulomb basis that avoids the infinite sum and continuum contributions of conventional perturbation treatments. Part IV provides an introduction to systems of identical particles. The second half deals chiefly with continuum problems : scattering theory, including rearrangement collisions ; a discussion of density matrices and statistical distributions of states ; time-dependent perturbation theory ; and atom-photon interactions, including the full multipole expansion of the quantized electromagnetic field. The book concludes with the Dirac theory of spin 1/2 particles and an introduction to many-body theory using annihilation-creation operator formalism. The text is self-contained and can be used by students without a previous course in quantum mechanics. Numerous problems are an integral part of the text, guiding and testing the reader's understanding.
  

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Contents

II
3
III
8
V
10
VI
11
VII
13
VIII
14
IX
15
XI
17
CXXXIX
354
CXL
357
CXLII
363
CXLIII
365
CXLIV
368
CXLV
379
CXLVI
381
CXLVII
384

XII
19
XIII
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XIV
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XV
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XVI
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XVII
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XVIII
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XIX
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XX
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XXI
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XXII
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XXIII
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XXIV
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XXV
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XXVI
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XXVII
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XXVIII
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XXIX
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XXXVIII
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XXXIX
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XL
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XLI
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XLII
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XLIII
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XLIV
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XLV
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XLVI
108
XLVII
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XLIX
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L
122
LI
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LII
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LIII
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LIV
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LV
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LVI
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LVII
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LVIII
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LIX
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LX
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LXI
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LXII
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LXIII
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LXIV
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LXV
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LXVI
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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LXXV
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LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXII
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVI
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LXXXVII
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LXXXVIII
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LXXXIX
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XC
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XCI
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XCIV
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XCV
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XCVI
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XCVII
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XCVIII
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XCIX
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C
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CI
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CII
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CIII
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CIV
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CV
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CVI
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CVII
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CVIII
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CIX
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CX
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CXI
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CXII
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CXIII
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CXV
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CXVI
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CXVII
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CXVIII
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CXIX
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CXX
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CXXI
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CXXII
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CXXIII
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CXXIV
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CXXV
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CXXVI
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CXXVII
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CXXVIII
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CXXIX
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CXXX
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CXXXI
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CXXXII
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CXXXIII
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CXXXIV
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CXXXV
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CXXXVI
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CXXXVII
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CXLVIII
389
CXLIX
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CL
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CLI
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CLIII
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CLIV
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CLV
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CLVI
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CLVII
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CLVIII
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CLIX
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CLX
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CLXI
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CLXII
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CLXIII
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CLXIV
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CLXV
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CLXVI
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CLXVII
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CLXVIII
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CLXIX
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CLXXI
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CLXXII
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CLXXIV
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CLXXV
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CLXXVI
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CLXXVII
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CLXXVIII
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CLXXIX
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CLXXX
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CLXXXI
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CLXXXII
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CLXXXIII
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CLXXXIV
503
CLXXXV
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CLXXXVI
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CLXXXVII
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CLXXXVIII
512
CLXXXIX
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CXC
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CXCI
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CXCII
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CXCIV
525
CXCV
527
CXCVII
529
CXCVIII
531
CXCIX
534
CC
539
CCI
541
CCII
544
CCIII
547
CCIV
548
CCV
549
CCVI
551
CCVII
553
CCVIII
554
CCIX
558
CCX
560
CCXI
561
CCXII
562
CCXIII
570
CCXIV
573
CCXV
575
CCXVI
576
CCXVII
579
CCXVIII
582
CCXIX
583
CCXX
584
CCXXII
587
CCXXIII
588
CCXXIV
590
CCXXV
593
CCXXVI
598
CCXXVII
606
CCXXVIII
612
CCXXIX
615
CCXXX
617
CCXXXI
622
CCXXXII
626
CCXXXIII
631
CCXXXIV
634
CCXXXV
636
CCXXXVI
640
CCXXXVII
642
CCXXXVIII
645
CCXXXIX
651
CCXL
655
CCXLI
657
CCXLII
658
CCXLIV
661
CCXLV
663
CCXLVI
664
CCXLVII
666
CCXLVIII
670
CCXLIX
671
CCL
672
CCLI
673
CCLII
674
CCLIII
678
CCLIV
681
CCLV
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CCLVI
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CCLVII
686
CCLVIII
690
CCLIX
692
CCLX
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CCLXI
698
CCLXII
703
CCLXIII
708
CCLXIV
713
CCLXV
719
CCLXVI
721
CCLXVII
728
CCLXVIII
729
CCLXIX
732
CCLXX
735
CCLXXI
738
CCLXXII
739
CCLXXIII
743
CCLXXIV
745
CCLXXV
749
CCLXXVI
751
CCLXXVII
753
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