复旦量子力学讲义qmapter1-资料
合集下载
相关主题
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
• O - representation
2020/7/30
§1.3 Operators
• O - representation
2020/7/30
§1.4 Approximation method
• Perturbation independent of time • Non -degenerate
The details of this chapter can be found in the usual references of quantum mechanics
2020/7/30
§1.1 State vector, wave function and superposition of states
pure coordinate part pure momentum part • 2nd convention: mixed part
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
• Commutator
2020/7/30
§1.3 Operators
2020/7/30
§1.4 Approximation method
• Commutator
2020/7/30
§1.3 Operators
• Commutator
2020/7/30
§1.3 Operators
• Hermitian operator
2020/7/30
§1.3 Operators
• Eigenequation
2020/7/30
§1.3 Operators
• Coulomb potential
2020/7/30
§1.2 Schrödinger equation and its solutions
• Coulomb potential
2020/7/30
§1.3 Operators
• According to the Born statistical interpretation, The probability of finding a particle at position r is just the square of its wave function
2020/7/30
ter 1 Foundation of Quantum Mechanics
2020/7/30
2020/7/30
§1.1 State vector, wave function and superposition of states
This chapter evolves from an attempt of a brief review over the basic ideas and formulae in undergraduate-level quantum mechanics.
• 3D Schrodinger equation • Central potential
2020/7/30
§1.2 Schrödinger equation and its solutions
• Central potential
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
• pi-ih/2π▽i • Cartesian rectangular coordinates • 1st convention:
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.4 Approximation method
• Non -degenerate
2020/7/30
§1.4 Approximation method
• Non -degenerate
2020/7/30
§1.4 Approximation method
• Degenerate
2020/7/30
§1.1 State vector, wave function and superposition of states
2020/7/30
§1.1 State vector, wave function and superposition of states
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.2 Schrödinger equation and its solutions
• 1D Schrödinger equation • Infinite potential well
2020/7/30
§1.2 Schrödinger equation and its solutions
• Infinite potential well
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.3 Operators
• O - representation
2020/7/30
§1.4 Approximation method
• Perturbation independent of time • Non -degenerate
The details of this chapter can be found in the usual references of quantum mechanics
2020/7/30
§1.1 State vector, wave function and superposition of states
pure coordinate part pure momentum part • 2nd convention: mixed part
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
• Commutator
2020/7/30
§1.3 Operators
2020/7/30
§1.4 Approximation method
• Commutator
2020/7/30
§1.3 Operators
• Commutator
2020/7/30
§1.3 Operators
• Hermitian operator
2020/7/30
§1.3 Operators
• Eigenequation
2020/7/30
§1.3 Operators
• Coulomb potential
2020/7/30
§1.2 Schrödinger equation and its solutions
• Coulomb potential
2020/7/30
§1.3 Operators
• According to the Born statistical interpretation, The probability of finding a particle at position r is just the square of its wave function
2020/7/30
ter 1 Foundation of Quantum Mechanics
2020/7/30
2020/7/30
§1.1 State vector, wave function and superposition of states
This chapter evolves from an attempt of a brief review over the basic ideas and formulae in undergraduate-level quantum mechanics.
• 3D Schrodinger equation • Central potential
2020/7/30
§1.2 Schrödinger equation and its solutions
• Central potential
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
2020/7/30
§1.3 Operators
• pi-ih/2π▽i • Cartesian rectangular coordinates • 1st convention:
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.4 Approximation method
• Non -degenerate
2020/7/30
§1.4 Approximation method
• Non -degenerate
2020/7/30
§1.4 Approximation method
• Degenerate
2020/7/30
§1.1 State vector, wave function and superposition of states
2020/7/30
§1.1 State vector, wave function and superposition of states
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator
2020/7/30
2020/7/30
§1.2 Schrödinger equation and its solutions
2020/7/30
§1.2 Schrödinger equation and its solutions
• 1D Schrödinger equation • Infinite potential well
2020/7/30
§1.2 Schrödinger equation and its solutions
• Infinite potential well
2020/7/30
§1.2 Schrödinger equation and its solutions
• Harmonic oscillator