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Projection operators and states in the tensor product of quaternion hilbert modules

✍ Scribed by Aharon Razon; L. P. Horwitz

Publisher: Springer Netherlands
Year: 1991
Tongue: English
Weight: 534 KB
Volume: 24
Category: Article
ISSN: 0167-8019
DOI: 10.1007/bf00046891

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✦ Synopsis

Following the construction of tensor product spaces of quaternion Hilbert modules in our previous paper, we define the analogue of a ray (in a complex quantum mechanics) and the corresponding projection operator, and through these the notion of a state and density operators. We find that there is a one-to-one correspondence between a state and an equivalence class of vectors from the tensor product space, which gives us another method to define the gauge transformations.

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