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Showing below up to 50 results starting with #1.

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  1. (hist) ‎Use COMSOL Multiphysics to make a 2D simulation of Poiseuille flow ‎[10,188 bytes]
  2. (hist) ‎Define objectivism ‎[8,349 bytes]
  3. (hist) ‎Quantise the coupled harmonic oscillator ‎[8,276 bytes]
  4. (hist) ‎Quantum field theory ‎[5,396 bytes]
  5. (hist) ‎The structure of Substepr ‎[5,052 bytes]
  6. (hist) ‎Show that the scalar (or inner) product of position \(x\) and momentum \(p\) can be written as an exponential in terms of \(x\) and \(p\) ‎[4,889 bytes]
  7. (hist) ‎Use the Bogoliubov transformation to diagonalise the BCS superconductivity Hamiltonian ‎[4,824 bytes]
  8. (hist) ‎Derive the quantised Hamiltonian corresponding to the Dirac equation ‎[4,637 bytes]
  9. (hist) ‎Create a new page in Substepr ‎[4,390 bytes]
  10. (hist) ‎Use the Trachtenberg speed system of basic mathematics to multiply 6250188 by 6 ‎[4,385 bytes]
  11. (hist) ‎Find the probability of a player being given exactly one ace in a Bridge deal ‎[4,325 bytes]
  12. (hist) ‎Use the mean field approximation to simplify the BCS superconductivity Hamiltonian ‎[3,901 bytes]
  13. (hist) ‎Build the open source car suggested on www.theoscarproject.org ‎[3,848 bytes]
  14. (hist) ‎Build an all-electric car ‎[3,823 bytes]
  15. (hist) ‎Other points ‎[3,805 bytes]
  16. (hist) ‎Find a fossil ‎[3,787 bytes]
  17. (hist) ‎Show that the Hamiltonian of the quantum elastic chain can be represented as a sum of harmonic oscillator Hamiltonians ‎[3,638 bytes]
  18. (hist) ‎Use the Trachtenberg speed system of basic mathematics to multiply 443052 by 6 ‎[3,464 bytes]
  19. (hist) ‎Plan the construction of a modern-day pyramid as an open project hosted by Substepr ‎[3,320 bytes]
  20. (hist) ‎Derive the quantised Hamiltonian corresponding to the charged Klein-Gordon equation ‎[3,295 bytes]
  21. (hist) ‎Show that the bosonic commutation relations of the creation and annihilation operators are preserved by the Bogoliubov transformation ‎[3,278 bytes]
  22. (hist) ‎Use the Euler-Lagrange equation ‎[3,257 bytes]
  23. (hist) ‎Donor name or URL submission instructions ‎[3,202 bytes]
  24. (hist) ‎Calculate expectation values for \(x^4\) in state \(n\) using ladder operators ‎[3,183 bytes]
  25. (hist) ‎Find the fraction of bosons not in the concentrate in a weakly interacting bosonic superfluid ‎[3,161 bytes]
  26. (hist) ‎Show that if the raising operator acts on an eigenstate of the number operator, the result is also an eigenstate of the number operator ‎[3,114 bytes]
  27. (hist) ‎Represent an arbitrary number state \(n\) in terms of creation operators and the vacuum state ‎[3,044 bytes]
  28. (hist) ‎Derive the quantised Hamiltonian corresponding to the uncharged Klein-Gordon equation ‎[2,997 bytes]
  29. (hist) ‎Find the excitation spectrum for a weakly interacting bosonic superfluid ‎[2,862 bytes]
  30. (hist) ‎Main Page ‎[2,767 bytes]
  31. (hist) ‎Derive the equations of motion for arbitrarily many coupled harmonic oscillators with alternating masses ‎[2,719 bytes]
  32. (hist) ‎Make a ring around a planet that can shrink or expand instead of using a space elevator ‎[2,707 bytes]
  33. (hist) ‎Prove and demonstrate the existence of ladder operators for the simple harmonic oscillator ‎[2,676 bytes]
  34. (hist) ‎Show that if the lowering operator acts on a non-zero eigenstate of the number operator, the result is also an eigenstate of the number operator ‎[2,653 bytes]
  35. (hist) ‎Use the Trachtenberg speed system of basic mathematics to multiply 8234 by 6 ‎[2,638 bytes]
  36. (hist) ‎Top donors ‎[2,531 bytes]
  37. (hist) ‎Create something profound ‎[2,494 bytes]
  38. (hist) ‎Use the Trachtenberg speed system to multiply 98834 by 11 ‎[2,425 bytes]
  39. (hist) ‎Prove that the lowering operator lowers the state of the simple harmonic oscillator ‎[2,399 bytes]
  40. (hist) ‎Use the Trachtenberg speed system to multiply 63247 by 12 ‎[2,385 bytes]
  41. (hist) ‎Act on the Hamiltonian \(H=F(a^\dagger a+b^\dagger b)+G(a^\dagger b^\dagger+ab)\) with the Bogoliubov transformation ‎[2,361 bytes]
  42. (hist) ‎Show that number states are eigenstates of the Hamiltonian operator for a simple harmonic oscillator ‎[2,322 bytes]
  43. (hist) ‎Integrate using 'Integration by parts' ‎[2,296 bytes]
  44. (hist) ‎Show that the scalar (or inner) product of basis state \(x\) and quantum state \(\phi\) with the momentum operator \(p\) can be written as a derivative ‎[2,278 bytes]
  45. (hist) ‎Show that the scalar (or inner) product of basis state \(p\) and quantum state \(\phi\) with the position operator \(x\) can be written as a derivative ‎[2,272 bytes]
  46. (hist) ‎Find the quadratic bosonic theory that describes a 1-dimensional Heisenberg ferromagnet ‎[2,235 bytes]
  47. (hist) ‎Find the eigenstate of the total spin operator in the Schwinger boson representation ‎[2,149 bytes]
  48. (hist) ‎Find the distribution of the number of observations until the value of the first observation is exceeded. ‎[2,128 bytes]
  49. (hist) ‎Find the gap energy \(\Delta\) of the BCS superconductor ‎[2,125 bytes]
  50. (hist) ‎Find the Hamiltonian for the interaction between phonons and optical phonons ‎[2,124 bytes]

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