Hamiltonian (quantum mechanics)

In quantum mechanics, the Hamiltonian is the operator corresponding to the total energy of the system. It is usually denoted by H, also Ȟ or Ĥ. Its spectrum is the set of possible outcomes when one measures the total energy of a system. Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.

The Hamiltonian is the sum of the kinetic energies of all the particles, plus the potential energy of the particles associated with the system. For different situations or number of particles, the Hamiltonian is different since it includes the sum of kinetic energies of the particles, and the potential energy function corresponding to the situation.

Hamiltonian (quantum mechanics) - Wikipedia, the free encyclopedia

HPMOR - Chapter 2

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Baconian method

The Baconian method is the investigative method developed by Sir Francis Bacon . The method was put forward in Bacon's book Novum Organum (1620), or 'New Method', and was supposed to replace the methods put forward in Aristotle 's Organon . This method was influential upon the development of scientific method in modern science ; but also more generally in the early modern rejection of medieval Aristotelianism . Bacon's method is an example of the application of inductive reasoning . By reasoning using "induction", Bacon meant the ability to generalize a finding stepwise, based on accumulating data. He advised proceeding by this method, or in other words, by building a case from the ground up. He wrote in the Novum Organum that: "Our only hope, then is in genuine Induction... There is the same degree of licentiousness and error in forming Axioms, as in abstracting Notions: and that in the first principles, which depend in common induction. Stil...

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Harry Potter and the Methods of Rationality - Scientific facts

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