We propose an exact expression for the energy eigenvalues of the pure λx2m quantum anharmonic oscillators. The only information needed for the purpose is K0(m,n), which is the first term of strong-coupling\nexpansion for oscillator with potential λx2m for the nth excited state. We then ...
The energy levels of a single quantum quartic oscillator and those of a pair of coupled quartic anharmonic oscillators are investigated. Expansions for the energy levels are obtained for different energy regimes and numerical results for a variety of conditions are given. A WKB analysis is included...
We propose a scheme to add/subtract excitations to/from an arbitrary quantum state or the harmonic oscillator. The method displaces the photon-number distribution and leaves its shape unchanged for a wide range of displacements. Mathematically this is realized by the action of phase operators of ...
No, the energy of a Simple Harmonic Oscillator can never be negative. This is because both the kinetic and potential energies are always positive, and the total energy is the sum of these two values. In SHM, energy is constantly being exchanged between kinetic and potential, but the total ...
ACCORDING to quantum mechanics, an oscillator possesses a definite zero-point energy of vibration, and an attempt has been made to express this result directly in terms of some general principle. It has been found that the result may be deduced from the uncertainty principle, in view of the ...
As in Boyer's argument, no explicit assumption of quantum mechanics is introduced. We discuss the relation of our results to the analysis of Planck and Einstein which led to the notion of the quantized radiation field. We then inquire into the discrete or continuous behavior of the energy and...
关键词: Theoretical or Mathematical/ harmonic oscillators/ energy levels piecewise linear oscillator spectrum one-dimensional delta-function barrier/ A0365G Solutions of wave equations: bound state in quantum theory DOI: 10.1016/0375-9601(87)90506-8 被引量: 3 ...
Matt Strassler [August 29, 2013] In this article I am going to tell you something about how quantum mechanics works, specifically the fascinating phenomenon known as ``quantum fluctuations'', and how it applies in a quantum field theory, of which the Sta
5) Energy level of molecules at vibration state 分子振动态能级 6) neutron resonance level 中子共振能级 补充资料:谐振子 谐振子 oscillator, harmonic [补注1 [A正1 Arnol‘d,V 1.,Mathe皿t:cal卿th。〔15 of classlcal rnCch翻cs,Spnnger,1978(译自俄文). 【AZ 1 Seh湃L .1.,Quantum毗chanies...
quantum phenomena and, nowadays, most superconducting quantum circuits are based on them. However, the Josephson effect also occurs in structures with a non-tunneling conductivity, which together with tunnel JJs form a class of superconducting weak links2. Nanowires with quantum phase slips caused by...