Minimum-uncertainty angular wave packets and quantized mean values
نویسندگان
چکیده
منابع مشابه
Angular minimum uncertainty states with large uncertainties
The uncertainty relation for angle and angular momentum has a lower bound which depends on the form of the state. Surprisingly, this lower bound can be very large. We derive the states which have the lowest possible uncertainty product for a given uncertainty in the angle or in the angular momentum. We show that, if the given angle uncertainty is close to its maximum value, the lowest possible ...
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(2+2)–dimensional quantum mechanical q–phase space which is the semi– direct product of the quantum planeEq(2)/U(1) and its dual algebra eq(2)/u(1) is constructed. Commutation and the resulting uncertainty relations are studied. ”Quantum mechanical q–Hamiltonian” of the motion over the quantum plane is derived and the solution of the Schrödinger equation for the q– semiclassical motion governed...
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We present an accurate description of the conjugate pair angle-angular momentum in terms of the exponential of the angle instead of the angle itself, which leads to dispersion as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We disc...
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For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent, and, accordingly, the Heisenberg-type formulation of the uncertainty principle becomes weak. In contrast to such a situation, the information-entropic formulation involves only finite quantities, thus displaying its superiority over the Heisenberg-type relation. We attempt to ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1996
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.53.1978