양자역학을 가르치면서 학부학생들이 관련 수식을 이해하고 따라가는 데 어려워하고 또 관계식들을 어디에 어떻게 사용하고 적용하는지에 대한 궁금증을 가지고 있다는 것을 알았다. 양자역학을 배우는 학생들의 입장과 눈높이에 맞추어 본문 내용을 준비하려고 노력하였고 가능한 한 수식들의 중간과정을 생략하지 않고 자세히 기술하여 학생들이 따라올 수 있도록 하였고 난이도를 달리하는 예제 또는 예시들을 본문 내용에 포함시켰다. 그리고 본문 내용에 포함되어 있지 않은 관계식 유도 또는 증명 등은 각 장의 뒷부분에 있는 “보충자료”에 기술하였고 배운 내용을 얼마나 잘 이해하는지 스스로 알아보는 문제들을 맨 마지막 장 뒤에 실었다.

Chapter 1 양자물리학의 필요성 ······························································································ 1

1. 흑체복사∙1

2. 광전효과∙12

3. 컴프턴 효과∙15

4 물질파∙19

5. 원자모델∙22

6. 윌슨-조머펠트 양자화∙28

7. 대응원리∙32

Chapter 2 양자역학의 확률적 개념과 파동방정식 ························································ 37

1. 입자의 파동성∙37

2. 슈뢰딩거 방정식과 연산자∙50

3. 교환자∙64

4. 슈뢰딩거 묘사 대 하이젠베르그 묘사∙66

Chapter 3 고유치 방정식 ········································································································ 75

1. 시간 의존 슈뢰딩거 방정식∙75

2. 선형 연산자의 판별법∙82

3. 전개 공리와 물리적 해석∙84

4. 운동량 고유함수의 소개∙91

5. 축퇴∙98

6. 패러티 연산자∙99

7. 슈미트 직교화 과정∙101

Chapter 4 1차원에서의 포텐셜 문제 ··············································································· 107

1. 계단 포텐셜∙107

2. 네모난 포텐셜 장벽∙114

3. 네모난 포텐셜 우물∙121

4. 델타 함수형의 포텐셜∙133

5. 크로니히－페니 모델∙144

6. 조화 진동자∙149

Chapter 5 물리량의 디락 표현 방법 ··············································································· 165

1. 디락 표현∙165

2. 불확정치에 관한 정리∙171

3. 조화 진동자∙174

4. 시간에 따른 연산자의 변화∙181

Chapter 6 각운동량 ················································································································· 189

1. 각운동량의 고유벡터 소개∙189

2. 각운동량 고유벡터의 양자수∙192

3. 구면좌표계에서의 고유벡터 표현∙200

Chapter 7 3차원에서의 슈뢰딩거 방정식 ······································································· 211

1. 변수가 독립적인 포텐셜의 슈뢰딩거 방정식∙211

2. 구면 좌표계에서의 슈뢰딩거 방정식∙214

3. 구면좌표계에서의 자유입자에 대한 슈뢰딩거 방정식∙230

Chapter 8 연산자의 행렬 표현 ························································································· 237

1. 소개∙237

2. 연산자의 행렬 표현∙242

3. 고유치 방정식 풀이∙244

Chapter 9 스핀 ························································································································· 255

1. 스핀 소개∙255

2. 일반화된 파울리 행렬∙265

3. 상자성 공명∙267

4. 두 전자의 스핀 합∙274

5. 총 각운동량    ∙279

Chapter 10 시간에 무관한 섭동이론 ·················································································· 287

1. 섭동이론∙287

2. 축퇴 섭동 이론∙296

Chapter 11 수소유사 원자 ····································································································· 311

1. 전자운동의 상대론적 효과∙311

2. 스핀-궤도 상호작용∙313

3. 제만 효과∙317

4. 초미세 구조 갈라짐∙321

Chapter 12 다 입자계 ·············································································································· 337

1. 상호작용하지 않는 두 입자∙337

2. 상호작용하는 두 입자∙339

3. 상호작용하는 구별되지 않는 두 전자∙341

4. 파울리 배타원리와 자유입자∙352

Chapter 13 시간의존 섭동이론 ····························································································· 361

1. 전이진폭과 전이확률∙361

2. 전이확률과 페르미 황금률∙366

Chapter 14 하전입자와 전자기장의 상호작용 ································································· 375

1. 전자기파 소개∙375

2. 전자기장과 상호작용하는 전자∙377

Chapter 15 방사성 붕괴 ·········································································································· 395

Chapter 16 충돌 이론 ··············································································································· 411

1. 부분파 방법∙411

2. 낮은 에너지에서의 산란∙422

3. 우물 포텐셜에 관한 S파 산란∙426

4. 반경 a인 단단한 구에 의한 산란∙433

5. 산란에서 스핀의 영향∙435

6. Born 근사법∙439

7. 동일한 입자의 산란∙442

■ 연습문제∙451