scholarly journals Physical Meaning and a Duality of Concepts of Wave Function, Action Functional, Entropy, the Pointing Vector, the Einstein Tensor

2012 ◽  
Vol 4 (3) ◽  
Author(s):  
Ludmila Petrova
Keyword(s):  
Wave Function ◽  
Physical Meaning ◽  
Action Functional ◽  
Einstein Tensor

INTERPRETATION AND PREDICTABILITY OF QUANTUM MECHANICS AND QUANTUM COSMOLOGY

1988 ◽  
Vol 03 (07) ◽  
pp. 645-651 ◽  
Author(s):  
SUMIO WADA
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Physical Meaning ◽  
Quantum Cosmology ◽  
Degrees Of Freedom ◽  
Interpretation Of Quantum Mechanics ◽  
Probabilistic Interpretation ◽  
The Universe ◽  
Classical Picture

A non-probabilistic interpretation of quantum mechanics asserts that we get a prediction only when a wave function has a peak. Taking this interpretation seriously, we discuss how to find a peak in the wave function of the universe, by using some minisuperspace models with homogeneous degrees of freedom and also a model with cosmological perturbations. Then we show how to recover our classical picture of the universe from the quantum theory, and comment on the physical meaning of the backreaction equation.

scholarly journals The Physical Meaning of the Wave Function

2016 ◽  
Vol 04 (06) ◽  
pp. 988-1023 ◽  
Author(s):  
Ilija Barukčić
Keyword(s):  
Wave Function ◽  
Physical Meaning

Investigation of Bohr Hamiltonian in the presence of time-dependent Manning–Rosen, harmonic oscillator and double ring shaped potentials

2016 ◽  
Vol 25 (09) ◽  
pp. 1650073 ◽  
Author(s):  
Hadi Sobhani ◽  
Hassan Hassanabadi
Keyword(s):  
Mathematical Method ◽  
Wave Function ◽  
Harmonic Oscillator ◽  
Physical Meaning ◽  
Time Dependent ◽  
Invariant Method ◽  
Double Ring ◽  
System A ◽  
Dependent Form

This paper contains study of Bohr Hamiltonian considering time-dependent form of two important and famous nuclear potentials and harmonic oscillator. Dependence on time in interactions is considered in general form. In order to investigate this system, a powerful mathematical method has been employed, so-called Lewis–Riesenfeld dynamical invariant method. Appropriate dynamical invariant for considered system has been constructed. Then its eigen functions and the wave function are derived. At the end, we discussed about physical meaning of the results.

scholarly journals κ-Minkowski-deformation of U(1) gauge theory

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
V. G. Kupriyanov ◽  
M. Kurkov ◽  
P. Vitale
Keyword(s):  
Gauge Theory ◽  
Field Strength ◽  
Gauge Invariance ◽  
Physical Meaning ◽  
Space Time ◽  
Action Functional ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Integration Measure

Abstract We construct a noncommutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 08 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both the deformed gauge transformations and the deformed field strength, which is covariant under these transformations. The corresponding Yang-Mills Lagrangian is gauge covariant and reproduces the Maxwell Lagrangian in the commutative limit. Gauge invariance of the action functional requires a non-trivial integration measure which, in the commutative limit, does not reduce to the trivial one. We discuss the physical meaning of such a nontrivial commutative limit, relating it to a nontrivial space-time curvature of the undeformed theory. Moreover, we propose a rescaled kappa-Minkowski noncommutative structure, which exhibits a standard flat commutative limit.

Interpretation of a molecular wave function in terms of individual structures

1983 ◽  
Vol 48 (1) ◽  
pp. 34-40
Author(s):  
Robert Ponec
Keyword(s):  
Wave Function ◽  
Physical Meaning ◽  
Molecular Wave Function ◽  
General Method

A general method is presented suitable for the decomposition of a MO wave function into a set of non-orthogonal structures. Applying this method provides evidence that the generally accepted idea of the weight of a structure has no physical meaning and cannot therefore be used for interpreting the problems of structure and reactivity.

scholarly journals The Finslerian quantum cosmology

2020 ◽  
Vol 98 (9) ◽  
pp. 862-868
Author(s):  
S.S. De ◽  
Farook Rahaman ◽  
Nupur Paul
Keyword(s):  
Wave Function ◽  
Cosmological Model ◽  
Time Evolution ◽  
Physical Meaning ◽  
Quantum Cosmology ◽  
Constraint Equation ◽  
Quantum Mechanical ◽  
Expectation Value ◽  
The Universe ◽  
Friedmann Robertson Walker

We present a Friedmann–Robertson–Walker quantum cosmological model within the framework of Finslerian geometry. In this work, we consider a specific fluid. We obtain the corresponding Wheeler–DeWitt equation as the usual constraint equation as well as the Schrödinger equation following Dirac, although the approaches yield the same time-independent equation for the wave function of the universe. We provide exact classical and quantum mechanical solutions. We use eigenfunctions to study the time evolution of the expectation value of the scale factor. Finally, we discuss the physical meaning of the results.

scholarly journals The de Broglie – Bohm theory as a rational completion of quantum mechanics,

2018 ◽  
Vol 96 (4) ◽  
pp. 379-390 ◽  
Author(s):  
Jean Bricmont
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum State ◽  
Physical Meaning ◽  
The Other ◽  
Efficient Tool ◽  
De Broglie Bohm

We try to give a physical meaning to the wave function or quantum state of a system, apart from being a very efficient tool for predicting results of measurements on that system. In other words, we ask what does it mean for a system outside the laboratories to have a wave function? We first explain why two possible, and probably common, answers to that question do not really answer it. Then, we explain how the de Broglie – Bohm theory does give a satisfactory meaning to the quantum state outside the laboratories, while avoiding the problems faced by the other answers.

Physical meaning of the photon wave function

1998 ◽  
Vol 57 (3) ◽  
pp. 2204-2207 ◽  
Author(s):  
Toshio Inagaki
Keyword(s):  
Wave Function ◽  
Physical Meaning ◽  
Photon Wave Function

Analytic integration of contrast transfer functions

1988 ◽  
Vol 46 ◽  
pp. 822-823
Author(s):  
Peter Rez
Keyword(s):  
Wave Function ◽  
Transfer Function ◽  
Transfer Functions ◽  
Spherical Aberration ◽  
Continuous Distribution ◽  
Objective Lens ◽  
Direction Parallel ◽  
Scattering Angle ◽  
Analytic Integration ◽  
Image Position

In high resolution microscopy the image amplitude is given by the convolution of the specimen exit surface wave function and the microscope objective lens transfer function. This is usually done by multiplying the wave function and the transfer function in reciprocal space and integrating over the effective aperture. For very thin specimens the scattering can be represented by a weak phase object and the amplitude observed in the image plane is1where fe (Θ) is the electron scattering factor, r is a postition variable, Θ a scattering angle and x(Θ) the lens transfer function. x(Θ) is given by2where Cs is the objective lens spherical aberration coefficient, the wavelength, and f the defocus.We shall consider one dimensional scattering that might arise from a cross sectional specimen containing disordered planes of a heavy element stacked in a regular sequence among planes of lighter elements. In a direction parallel to the disordered planes there will be a continuous distribution of scattering angle.

Atomic Imaging of Crystals using Large-Angle Electron Scattering in STEM

1990 ◽  
Vol 48 (1) ◽  
pp. 74-75
Author(s):  
D.E. Jesson ◽  
S. J. Pennycook
Keyword(s):  
Wave Function ◽  
Electron Scattering ◽  
Numerical Solutions ◽  
Large Angle ◽  
Real Space ◽  
High Angle ◽  
Analytical Treatment ◽  
Order Zero ◽  
Experimental Conditions ◽  
Ewald Sphere

It is well known that conventional atomic resolution electron microscopy is a coherent imaging process best interpreted in reciprocal space using contrast transfer function theory. This is because the equivalent real space interpretation involving a convolution between the exit face wave function and the instrumental response is difficult to visualize. Furthermore, the crystal wave function is not simply related to the projected crystal potential, except under a very restrictive set of experimental conditions, making image simulation an essential part of image interpretation. In this paper we present a different conceptual approach to the atomic imaging of crystals based on incoherent imaging theory. Using a real-space analysis of electron scattering to a high-angle annular detector, it is shown how the STEM imaging process can be partitioned into components parallel and perpendicular to the relevant low index zone-axis.It has become customary to describe STEM imaging using the analytical treatment developed by Cowley. However, the convenient assumption of a phase object (which neglects the curvature of the Ewald sphere) fails rapidly for large scattering angles, even in very thin crystals. Thus, to avoid unpredictive numerical solutions, it would seem more appropriate to apply pseudo-kinematic theory to the treatment of the weak high angle signal. Diffraction to medium order zero-layer reflections is most important compared with thermal diffuse scattering in very thin crystals (<5nm). The electron wave function ψ(R,z) at a depth z and transverse coordinate R due to a phase aberrated surface probe function P(R-RO) located at RO is then well described by the channeling approximation;

Sign in / Sign up

Export Citation Format

Share Document