div class=ts-pagebuttonPage 1button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page1jpg target=_blank amp-img class=ts-thumb alt=Page 1: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails1jpg width=142 height=106 layout=responsive amp-imga divp4252015p p1p p1p p2p pCHAPTER 5p pAngular Momentum 51 SIMULTANEOUS SPECIFICATION OF SEVERAL PROPERTIESpdivdiv class=ts-pagebuttonPage 2button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page2jpg target=_blank amp-img class=ts-thumb alt=Page 2: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails2jpg width=142 height=106 layout=responsive amp-imga divp4252015p p2p p3p p4pdivdiv class=ts-pagebuttonPage 3button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page3jpg target=_blank amp-img class=ts-thumb alt=Page 3: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails3jpg width=142 height=106 layout=responsive amp-imga divp4252015p p3p p5p p6pdivdiv class=ts-pagebuttonPage 4button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page4jpg target=_blank amp-img class=ts-thumb alt=Page 4: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails4jpg width=142 height=106 layout=responsive amp-imga divp4252015p p4p p7p p8pdivdiv class=ts-pagebuttonPage 5button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page5jpg target=_blank amp-img class=ts-thumb alt=Page 5: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails5jpg width=142 height=106 layout=responsive amp-imga divp4252015p p5p p9p p10p p52 VECTORSpdivdiv class=ts-pagebuttonPage 6button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page6jpg target=_blank amp-img class=ts-thumb alt=Page 6: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails6jpg width=142 height=106 layout=responsive amp-imga divp4252015p p6p p11p p12pdivdiv class=ts-pagebuttonPage 7button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page7jpg target=_blank amp-img class=ts-thumb alt=Page 7: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails7jpg width=142 height=106 layout=responsive amp-imga divp4252015p p7p p13p p14pdivdiv class=ts-pagebuttonPage 8button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page8jpg target=_blank amp-img class=ts-thumb alt=Page 8: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails8jpg width=142 height=106 layout=responsive amp-imga divp4252015p p8p p15p p16pdivdiv class=ts-pagebuttonPage 9button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page9jpg target=_blank amp-img class=ts-thumb alt=Page 9: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails9jpg width=142 height=106 layout=responsive amp-imga divp4252015p p9p p17p p52 Vectors in n-Dimensional Spacep p18pdivdiv class=ts-pagebuttonPage 10button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page10jpg target=_blank amp-img class=ts-thumb alt=Page 10: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails10jpg width=142 height=106 layout=responsive amp-imga divp4252015p p10p p19p p20pdivdiv class=ts-pagebuttonPage 11button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page11jpg target=_blank amp-img class=ts-thumb alt=Page 11: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails11jpg width=142 height=106 layout=responsive amp-imga divp4252015p p11p p21p p22p p53 ANGULAR MOMENTUM OF A ONE-PARTICLE SYSTEMpdivdiv class=ts-pagebuttonPage 12button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page12jpg target=_blank amp-img class=ts-thumb alt=Page 12: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails12jpg width=142 height=106 layout=responsive amp-imga divp4252015p p12p p23p p24pdivdiv class=ts-pagebuttonPage 13button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page13jpg target=_blank amp-img class=ts-thumb alt=Page 13: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails13jpg width=142 height=106 layout=responsive amp-imga divp4252015p p13p p25p p26pdivdiv class=ts-pagebuttonPage 14button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page14jpg target=_blank amp-img class=ts-thumb alt=Page 14: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails14jpg width=142 height=106 layout=responsive amp-imga divp4252015p p14p p27p p28pdivdiv class=ts-pagebuttonPage 15button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page15jpg target=_blank amp-img class=ts-thumb alt=Page 15: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails15jpg width=142 height=106 layout=responsive amp-imga divp4252015p p15p p29p p30pdivdiv class=ts-pagebuttonPage 16button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page16jpg target=_blank amp-img class=ts-thumb alt=Page 16: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails16jpg width=142 height=106 layout=responsive amp-imga divp4252015p p16p p31p p32pdivdiv class=ts-pagebuttonPage 17button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page17jpg target=_blank amp-img class=ts-thumb alt=Page 17: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails17jpg width=142 height=106 layout=responsive amp-imga divp4252015p p17p p33p p34pdivdiv class=ts-pagebuttonPage 18button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page18jpg target=_blank amp-img class=ts-thumb alt=Page 18: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails18jpg width=142 height=106 layout=responsive amp-imga divp4252015p p18p p35p p36pdivdiv class=ts-pagebuttonPage 19button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page19jpg target=_blank amp-img class=ts-thumb alt=Page 19: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails19jpg width=142 height=106 layout=responsive amp-imga divp4252015p p19p p37p p38pdivdiv class=ts-pagebuttonPage 20button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page20jpg target=_blank amp-img class=ts-thumb alt=Page 20: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails20jpg width=142 height=106 layout=responsive amp-imga divp4252015p p20p p39p p40pdivdiv class=ts-pagebuttonPage 21button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page21jpg target=_blank amp-img class=ts-thumb alt=Page 21: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails21jpg width=142 height=106 layout=responsive amp-imga divp4252015p p21p p41p p42pdivdiv class=ts-pagebuttonPage 22button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page22jpg target=_blank amp-img class=ts-thumb alt=Page 22: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails22jpg width=142 height=106 layout=responsive amp-imga divp4252015p p22p p43p p44pdivdiv class=ts-pagebuttonPage 23button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page23jpg target=_blank amp-img class=ts-thumb alt=Page 23: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails23jpg width=142 height=106 layout=responsive amp-imga divp4252015p p23p p45p p46pdivdiv class=ts-pagebuttonPage 24button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page24jpg target=_blank amp-img class=ts-thumb alt=Page 24: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails24jpg width=142 height=106 layout=responsive amp-imga divp4252015p p24p p47p p48pdivdiv class=ts-pagebuttonPage 25button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page25jpg target=_blank amp-img class=ts-thumb alt=Page 25: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails25jpg width=142 height=106 layout=responsive amp-imga divp4252015p p25p p49p p50pdivdiv class=ts-pagebuttonPage 26button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page26jpg target=_blank amp-img class=ts-thumb alt=Page 26: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails26jpg width=142 height=106 layout=responsive amp-imga divp4252015p p26p p51p p52pdivdiv class=ts-pagebuttonPage 27button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page27jpg target=_blank amp-img class=ts-thumb alt=Page 27: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails27jpg width=142 height=106 layout=responsive amp-imga divp4252015p p27p p53p p54pdivdiv class=ts-pagebuttonPage 28button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page28jpg target=_blank amp-img class=ts-thumb alt=Page 28: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails28jpg width=142 height=106 layout=responsive amp-imga divp4252015p p28p p55p p56pdivdiv class=ts-pagebuttonPage 29button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page29jpg target=_blank amp-img class=ts-thumb alt=Page 29: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails29jpg width=142 height=106 layout=responsive amp-imga divp4252015p p29p p57p p54 THE LADDER-OPERATOR METHOD FOR ANGULAR MOMENTUMp p58pdivdiv class=ts-pagebuttonPage 30button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page30jpg target=_blank amp-img class=ts-thumb alt=Page 30: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails30jpg width=142 height=106 layout=responsive amp-imga divp4252015p p30p p59p p60pdivdiv class=ts-pagebuttonPage 31button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page31jpg target=_blank amp-img class=ts-thumb alt=Page 31: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails31jpg width=142 height=106 layout=responsive amp-imga divp4252015p p31p p61p p62pdivdiv class=ts-pagebuttonPage 32button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page32jpg target=_blank amp-img class=ts-thumb alt=Page 32: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails32jpg width=142 height=106 layout=responsive amp-imga divp4252015p p32p p63p p64pdivdiv class=ts-pagebuttonPage 33button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page33jpg target=_blank amp-img class=ts-thumb alt=Page 33: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails33jpg width=142 height=106 layout=responsive amp-imga divp4252015p p33p p65p p66pdivdiv class=ts-pagebuttonPage 34button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page34jpg target=_blank amp-img class=ts-thumb alt=Page 34: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails34jpg width=142 height=106 layout=responsive amp-imga divp4252015p p34p p67p p55 SUMMARYp p68pdivdiv class=ts-pagebuttonPage 35button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page35jpg target=_blank amp-img class=ts-thumb alt=Page 35: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails35jpg width=142 height=106 layout=responsive amp-imga divp4252015p p35p p69p p70pdivdiv class=ts-pagebuttonPage 36button div class=ts-image a href=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5page36jpg target=_blank amp-img class=ts-thumb alt=Page 36: CHAPTER 5 Angular MomentumchemyazdacirnoorbalaTeachingFundamental of Quantum Chemis… · In the next section we shall solve the eigenvalue problem for angular momentum which src=https:reader042vdocumentsnetreader042viewer202201200060715b2afd64d00c712587fchtml5thumbnails36jpg width=142 height=106 layout=responsive amp-imga divp4252015p p36p p71p p72pdiv