সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: de Gosson, Maurice
বিন্যাস: Preprint
প্রকাশিত: 2025
বিষয়গুলি:
অনলাইন ব্যবহার করুন:https://arxiv.org/abs/2511.06491
ট্যাগগুলো: ট্যাগ যুক্ত করুন
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সূচিপত্রের সারণি:
  • In earlier work, we introduced quantum blobs as minimum-uncertainty symplectic ellipsoids in phase space. These objects may be viewed as geometric monads in the Leibnizian sense, representing the elementary units of phase-space structure consistent with the uncertainty principle. We establish a one-to-one correspondence between such monads and generalized coherent states, represented by arbitrary non-degenerate Gaussian wave functions in configuration space. To each of these states, we associate a classs of Toeplitz operators that extends the standard anti-Wick quantization scheme. The mathematical and physical properties of these operators are analyzed, allowing for a generalized definition of density matrices within the phase-space formulation of quantum mechanics.