More on the asymmetric infinite square well: energy eigenstates with zero curvature
نویسندگان
چکیده
منابع مشابه
Interference Energy Spectrum of the Infinite Square Well
Certain superposition states of the 1-D infinite square well have transient zeros at locations other than the nodes of the eigenstates that comprise them. It is shown that if an infinite potential barrier is suddenly raised at some or all of these zeros, the well can be split into multiple adjacent infinite square wells without affecting the wavefunction. This effects a change of the energy eig...
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An infinite square well with a discontinuous step is one of the simplest systems to exhibit non-Newtonian ray-splitting periodic orbits. This system is analyzed using both time-independent perturbation theory (PT) and periodic-orbit theory and the approximate formulas for the energy eigenvalues derived from these two approaches are compared. The periodic orbits of the system can be divided into...
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We describe the time evolution of a wave function in the infinite square well using a fractional revival formalism, and show that at all times the wave function can be described as a superposition of translated copies of the initial wave function. Using the model of a wave form propagating on a dispersionless string from classical mechanics to describe these translations, we connect the reflect...
متن کاملInfinite square well and periodic trajectories in classical mechanics
We examine the classical problem of an infinite square well by considering Hamilton’s equations in one dimension and Hamilton-Jacobi equation for motion in two dimensions. We illustrate, by means of suitable examples, the nature of the periodic motion of a particle trapped inside the well. E-mail address: [email protected] Directeur de recherches FNRS; E-mail address: [email protected]
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Introduction. – The non-relativistic system of a onedimensional infinite square well with a massive particle evolving according to the Schrödinger equation is one of the most elementary quantum mechanical systems, and it often serves as an approximation to more complex physical systems. If, however, the potential walls are allowed to move, as originally in the Fermi-Ulam model for the accelerat...
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ژورنال
عنوان ژورنال: European Journal of Physics
سال: 2005
ISSN: 0143-0807,1361-6404
DOI: 10.1088/0143-0807/26/5/014