【量子光学】 Quantum Optics 1 Quiz 1.1(2)

Quantum Optics 1课程第二次测验

第1题 (单选)

The expression of the energy of a classical system as a function of canonically conjugate variables is called:

A) The Hamiltonian

B) The lagrangian

C) The Feynmanian

第2题 (不定项选择)

Classical Hamilton equations can be used to:

A) Describe the quantum evolution of the system

B) Obtain the dynamical equations of the system

C) Recognize canonically conjugate variables

第3题 (不定项选择)

Consider a 1D material particle with position $x$ , mass $m$ and energy $H=\frac{1}{2}m\nu^2+U(x)$ where $\nu=\frac{\mathrm{d}x}{\mathrm{d}t}$. Are the proposed pair of variables canonically conjugate variables (CCV):

A) $x$ and $\nu$

B) $x$ and $p=m\nu$

C) $\frac{x}{m}$ and $\nu$

D) $m\nu$ and $x$

第4题 (单选)

The commutator of operators $\hat{A}$ and $\hat{B}$ is defined by:

A) $\left[\hat{A},\hat{B}\right]=\hat{A}\hat{B}+\hat{B}\hat{A}$

B) $\left[\hat{A},\hat{B}\right]=\hat{A}\hat{B}-\hat{B}\hat{A}$

C) $\left[\hat{A},\hat{B}\right]=\hat{B}\hat{A}-\hat{A}\hat{B}$

第5题 (单选)

What is the photon flux emitted by a 1 mW HeNe laser (Wavelength 630 nm)

A) $\left[\hat{q},\hat{p}\right]=1$

B) $\left[\hat{q},\hat{p}\right]=\mathbf{i}$

C) $\left[\hat{q},\hat{p}\right]=\hbar$

D) $\left[\hat{q},\hat{p}\right]=\mathbf{i}\hbar$

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