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Why must we work in the phase space?

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arxiv 1404.2588 v1 pith:ZZYPGPV7 submitted 2014-04-04 math-ph math.MP

Why must we work in the phase space?

classification math-ph math.MP
keywords mechanicsphase-spacequantumtheoryclassicaldescriptionfundamentalgoing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We are going to prove that the phase-space description is fundamental both in the classical and quantum physics. It is shown that many problems in statistical mechanics, quantum mechanics, quasi-classical theory and in the theory of integrable systems may be well-formulated only in the phase-space language.

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