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The Hamiltonian of particle of mass m is given by H = Which one of the following figure describes the motion of the particle in phase space?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The Hamiltonian of particle of mass m is given by H =Which one of the ...
Concept:
In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.
Calculation:
We are given H=

For this case the  p˙=αq.

To find the fixed points we should equate
Hence, here we get: α q = 0 and =0.
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The Hamiltonian of particle of mass m is given by H =Which one of the following figure describes the motion of the particle in phase space?a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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