Talk:Stone's theorem on one-parameter unitary groups
Latest comment: 8 years ago by 50.76.5.73 in topic needs to be edited to explicitly show connection to Schrodinger equation
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needs to be edited to explicitly show connection to Schrodinger equation
editStone's theorem is fundamental in quantum mechanics, because it says that evolution by a 1-parameter unitary group (so that time is homogenius and probability is conserved) is given by Schrodinger's equation with some self-adjoint Hamiltonian H. Many of the readers of this article will be mathematically unsophisticated first-time learners of quantum mechanics so the article should be modified to really spell things out for them. Such people often don't even know what the exponential of an operator is! Standard college physics textbooks ignore Stone's theorem, so wikipedia has a gap to fill.