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  1. Vor einem Tag · Lennard-Jones truncated & splined potential The Lennard-Jones truncated & splined potential is a rarely used yet useful potential. Similar to the more popular LJTS potential, it is sturdily truncated at a certain 'end' distance r e n d {\displaystyle r_{\mathrm {end} }} and no long-range interactions are considered beyond.

  2. Vor 3 Tagen · The Planck constant, or Planck's constant, denoted by , [1] is a fundamental physical constant [1] of foundational importance in quantum mechanics: a photon 's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a matter wave equals the Planck constant divided by the associated particle momentum.

  3. Vor einem Tag · Up until that time, attempts to make the old quantum theory of the atom compatible with the theory of relativity, which were based on discretizing the angular momentum stored in the electron's possibly non-circular orbit of the atomic nucleus, had failed – and the new quantum mechanics of Heisenberg, Pauli, Jordan, Schrödinger, and Dirac himself had not developed sufficiently to treat this ...

  4. Vor 5 Tagen · The usefulness of quantum teleportation lies in its ability to send quantum information arbitrarily far distances without exposing quantum states to thermal decoherence from the environment or other adverse effects.

  5. Vor 5 Tagen · Idea 0.1. The notion of quantum group refers to various objects which are deformations of ( algebras of functions on) groups, but still have very similar properties to (algebras of functions on) groups, and in particular to semisimple Lie groups. Most important are the Hopf algebras deforming the function algebras on semisimple Lie groups or to ...

  6. Vor 5 Tagen · Solving for \(a_{m+2}\), we obtain the recursion relation \[a_{m+2}=\dfrac{n(n+1)-m(m+1)}{(m+2)(m+1)} a_{m}, \quad m \geq 0 . \nonumber \] Thus, \(a_{m+2}\) is proportional to \(a_{m}\). We can iterate and show that each coefficient is either proportional to \(a_{0}\) or \(a_{1}\). However, for \(n\) an integer, sooner, or later, \(m ...

  7. Vor 3 Tagen · Theory. James Franck and Gustav Hertz conducted an experiment in 1914, which demonstrated the existence of excited states in mercury atoms. It confirms the prediction of quantum theory that electrons occupy only discrete, quantized energy states. This experiment supports Bohr model of atom.