The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.
Schr¨ odinger, Quantisierung als Eigenwertproblem, Annalen der Physik, 384, is
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Perspective reviewing TTNS-DMRG methods for computing thousands of vibrational eigenstates in molecules up to 33 dimensions, with emphasis on connections to ML-MCTDH and practical challenges.
The Schrödinger equation is derived assuming the wave function is a probability amplitude and using the de Broglie relations E = ħω and p = ħk for the associated wave.
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The Birth of Quantum Mechanics and the Dirac Equation
The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.
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Accurate, full-dimensional computations of thousands of complex vibrational eigenstates with tree tensor network states
Perspective reviewing TTNS-DMRG methods for computing thousands of vibrational eigenstates in molecules up to 33 dimensions, with emphasis on connections to ML-MCTDH and practical challenges.
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Derivation of the Schrodinger equation from fundamental principles
The Schrödinger equation is derived assuming the wave function is a probability amplitude and using the de Broglie relations E = ħω and p = ħk for the associated wave.