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knzhou
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microcanonical measure of an harmonic Harmonic oscillator in microcanonical ensemble

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+\omega q^2$$$$H=p^2+\omega q^2.$$

How can quantities such as $<p^2>$$\langle p^2 \rangle$ or $<q^2>$$\langle q^2\rangle$ can be calculated using the microcanonical measure?

microcanonical measure of an harmonic oscillator

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+\omega q^2$$

How can quantities such as $<p^2>$ or $<q^2>$ can be calculated using the microcanonical measure?

Harmonic oscillator in microcanonical ensemble

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+\omega q^2.$$

How can quantities such as $\langle p^2 \rangle$ or $\langle q^2\rangle$ can be calculated using the microcanonical measure?

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jarhead
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Consider a hamiltonian of a simple classical pendulum

$$H=p^2+wq^2$$$$H=p^2+\omega q^2$$

How can quantities such as $<p^2>$ or $<q^2>$ can be calculated using the microcanonical measure?

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+wq^2$$

How can quantities such as $<p^2>$ or $<q^2>$ can be calculated using the microcanonical measure?

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+\omega q^2$$

How can quantities such as $<p^2>$ or $<q^2>$ can be calculated using the microcanonical measure?

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jarhead
  • 131
  • 1
  • 10

microcanonical measure of an harmonic oscillator

Consider a hamiltonian of a simple classical pendulum

$$H=p^2+wq^2$$

How can quantities such as $<p^2>$ or $<q^2>$ can be calculated using the microcanonical measure?