QUANTUM HAMILTONIAN REDUCTION IN CHARACTERISTIC p
نویسنده
چکیده
1. p-centers 1 1.1. Notation 1 1.2. Frobenius twist for symplectic varieties 1 1.3. Differential operators 2 1.4. Universal enveloping algebras 2 2. Classical Hamiltonian reduction 2 2.1. GIT in positive characteristic 2 2.2. Frobenius kernel 3 2.3. Hamiltonian actions and reduction 4 3. Frobenius constant quantizations 4 3.1. Definition 4 3.2. Quantum Hamiltonian reduction 5 4. Quantization of Hilbn(F) 7 References 9
منابع مشابه
Dilations, models, scattering and spectral problems of 1D discrete Hamiltonian systems
In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...
متن کاملConductance in quantum wires by three quantum dots arrays
A noninteracting quantum-dot arrays side coupled to a quantum wire is studied. Transport through the quantum wire is investigated by using a noninteracting Anderson tunneling Hamiltonian. The conductance at zero temperature develops an oscillating band with resonances and antiresonances due to constructive and destructive interference in the ballistic channel, respectively. Moreover, we have fo...
متن کاملترابرد در دیودهای تونلزنی تشدیدی نقطه کوانتومی در رژیم غیربرهمکنشی
In this paper, we used green's function approach in microscopic theory to investigate a resonant tunneling diode (RTD). We introduced the detailed Hamiltonian for each part of the photovoltaic p-i-n system, then by calculating the green's function components in tight-binding approximation, we calculate local density of states and current-voltage characteristic of the p-i-n structure. Our result...
متن کاملبررسی دینامیک کوانتومی مدارهای الکتریکی مزوسکوپی با بار گسسته
The quantum dynamics of a charged particle in an infinite chain of single-state quantum wells, in tight-binding approximation and under the action of an arbitrary time-dependent external field is investigated. The connection between the Hamiltonian description of this model and the Hamiltonian of a discrete-charge mesoscopic quantum circuit is elucidated. Based on this connection, the persist...
متن کاملConductance in quantum wires by three quantum dots arrays
A noninteracting quantum-dot arrays side coupled to a quantum wire is studied. Transport through the quantum wire is investigated by using a noninteracting Anderson tunneling Hamiltonian. The conductance at zero temperature develops an oscillating band with resonances and antiresonances due to constructive and destructive interference in the ballistic channel, respectively. Moreover, we have fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014