Titlebook: Geometric Quantization and Quantum Mechanics; Jȩdrzej Śniatycki Book 1980 Springer-Verlag New York Inc. 1980 Quantenmechanik.Quantisierung

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irs (F., F.) of polarizations there is an intrinsically defined sesquilinear map .:.×.→C, called the “Blattner-Kostant-Sternberg kernel.” The kernel . induces a linear map .:.→. such that.for each σ. ∈ . and σ. ∈ . If . is unitary, the representation spaces . and . are said to be “unitarily related.”

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Blattner-Kostant-Sternberg Kernels,irs (F., F.) of polarizations there is an intrinsically defined sesquilinear map .:.×.→C, called the “Blattner-Kostant-Sternberg kernel.” The kernel . induces a linear map .:.→. such that.for each σ. ∈ . and σ. ∈ . If . is unitary, the representation spaces . and . are said to be “unitarily related.”

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https://doi.org/10.1007/978-3-030-62859-8 a Hilbert space . of quantum states and defines a map . from a subset of the Poisson algebra to the space of symmetric operators on .. The domain of . consists of all “.-quantizable” functions. The definition of . requires some additional structure on the phase space. The functions which generate o

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https://doi.org/10.1057/9780230514737lbert space, associating to each function f on X a linear operator .f so that the commutation relations.are satisfied for each pair of functions f and g on X. It should be noted that the mapping f ↦ (ħ/i)ξ. satisfies (3.1) but it fails to be a monomorphism since its kernel consists of the space of a

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Conducive

irs (F., F.) of polarizations there is an intrinsically defined sesquilinear map .:.×.→C, called the “Blattner-Kostant-Sternberg kernel.” The kernel . induces a linear map .:.→. such that.for each σ. ∈ . and σ. ∈ . If . is unitary, the representation spaces . and . are said to be “unitarily related.