Action-dependent wave functions: Definition
نویسنده
چکیده
This paper contains the formalism for a new object: an ‘‘action-dependent wave function.’’ The peaks and valleys of this function move through space as the action is varied. For some simple action-dependent wave packets, this motion mimics the trajectories of a classical particle. Unlike time-dependent wave packets, the action-dependent wave packets do not disperse when the classical motion is separable. I will present the results for three simple cases. For one-dimensional systems and separable multidimensional systems, a large number of states can be superposed to give a sharply peaked function, which exactly tracks the classical motion.
منابع مشابه
Generation of Love Wave in a Media with Temperature Dependent Properties Over a Heterogeneous Substratum
The present paper deals with the generation of Love waves in a layer of finite thickness over an initially stressed heterogeneous semi-infinite media. The rigidity and density of the layer are functions of temperature, i.e. they are temperature dependent. The lower substratum is an initially stressed medium and its rigidity and density vary linearly with the depth. The frequency relation of Lo...
متن کاملThermoelastic Vibration of Temperature-Dependent Nanobeams Due to Rectified Sine Wave Heating—A State Space Approach
In this study, the second type of Green and Naghdi's thermoelasticity theory is applied to present the vibration of a nanobeam subjected to rectified sine wave heating based upon the nonlocal thermoelasticity theory. Both Young's modulus and thermal conductivity are considered to be linear functions of the temperature. The Laplace transform domain is adopted to solve the governing partial diffe...
متن کاملTopological soliton solutions of the some nonlinear partial differential equations
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...
متن کاملWave Equations in Transversely Isotropic Media in Terms of Potential Functions (RESEARCH NOTE)
A complete series of potential functions for solving the wave equations in an almost transversely isotropic media is presented. The potential functions are reduced to only one potential function particularly for axisymmetric wave propagation problems. The potential functions presented in this paper can be reduced to Lekhnitskii-Hu-Nowacki solution for elastostatics problems.
متن کاملBohmian Conditional Wave Functions (and the status of the quantum state)
The de Broglie Bohm pilot-wave theory – uniquely among realistic candidate quantum theories – allows a straightforward and simple definition of the wave function of a subsystem of some larger system (such as the entire universe). Such sub-system wave functions are called “Conditional Wave Functions” (CWFs). Here we explain this concept and indicate the CWF’s role in the Bohmian explanation of t...
متن کامل