Associated with each measurable parameter in a physical system is a quantum mechanical operator. Now although not explicitly a time operator the Hamiltonian operator generates the time evolution of the wavefunction in the form H*(Psi)=i*hbar(d/dt)*(Psi), where Psi is a function of both space and time.
Also I don't believe that in the formulation of quantum mechanics (QM) time appears as a parameter, not as a dynamical variable. Also, if time were an operator what would be the eigenvalues and eigenvectors of such an operator?
Note:A dynamical time operator has been proposed in relativistic quantum mechanics.
A paper I found on the topic is;
Zhi-Yong Wang and Cai-Dong Xiong , "Relativistic free-motion time-of-arrival", J. Phys. A: Math. Theor. 40 1987 - 1905(2007)
Einstein's work on the Photoelectric effect, which won him the Nobel prize in 1921 was a bulwark of Quantum Mechanics. Einstein went off in another direction because of his inate suspicion that Quantum Mechanics has severe internal difficulties. Quantum Mechanics and Relativity have not yet been reconciled--but they are moving together slowly. Quantum Gravity seems to be key to the issue and may be resolved by String Theory.
Quantum mechanics is the mathematical description of matter on an atomic and subatomic scale. It is focused around the wavefunction of a system. Wave functions contain all information about the system such as: momentum, position, angular momentum, energy, etc. This information can only be known by its respective probability distributions. The basis of quantum mechanics in the wave mechanics formulation is the Schrodinger equation, which has two forms: the time-dependent and the time-independent.Quantum mechanics is a branch of mechanics concerned with mathematical modelling of the interaction and motion of subatomic particles.
Two operators that are also observables, which means that they correspond to some physically measurable quantity. Compatible observables are two or more such operators that can be measured at the same time. Position and momentum are an example of Incompatible observables, since one can only know either the position or the momentum of an object to 100% accuracy.
No, he did not. The widely regarded "father of quantum mechanics" was Planck, although at the time he did not understand his contirubtion, and it was unintentional. It is almost impossible, however, to realisticaly choose a founder of quantum mechanics, as many people many many small contirbutions, many not udnerstanding their significance at the time, throughout the history of the field.
The Uncertainty Principal, which states that we cannot know the momentum AND position of an electron at the same time. The consequences of this are quite vast; by looking at something, we are actually changing its result.
Einstein's work on the Photoelectric effect, which won him the Nobel prize in 1921 was a bulwark of Quantum Mechanics. Einstein went off in another direction because of his inate suspicion that Quantum Mechanics has severe internal difficulties. Quantum Mechanics and Relativity have not yet been reconciled--but they are moving together slowly. Quantum Gravity seems to be key to the issue and may be resolved by String Theory.
An electron's location or momentum, but not both.
Quantum mechanics is the mathematical description of matter on an atomic and subatomic scale. It is focused around the wavefunction of a system. Wave functions contain all information about the system such as: momentum, position, angular momentum, energy, etc. This information can only be known by its respective probability distributions. The basis of quantum mechanics in the wave mechanics formulation is the Schrodinger equation, which has two forms: the time-dependent and the time-independent.Quantum mechanics is a branch of mechanics concerned with mathematical modelling of the interaction and motion of subatomic particles.
Quantum mechanics simply helps us to understand the universe better. Right now, it does not have too many practical applications, but in the future it may help us discover time travel, or new sources of energy, but no one really knows.
Erwin Schrödinger was a physicist and a father of quantum mechanics. Quantum mechanics deals a lot with probability. His famous Schrödinger equation, which deals with how the quantum state of a physical system changes in time, uses probability in how it deals with the local conservation of probability density. For more information, please see the Related Link below.
David Z. Albert has written: 'Time and Chance' -- subject(s): Philosophy, Physics, Time reversal 'Quantum mechanics and experience' -- subject(s): Physical measurements, Quantum theory
Quantum Computers are a new type of computer that uses the principles of quantum mechanics to perform operations. Unlike traditional computers, which use bits to store and process information, Quantum Computers use qubits. Qubits can represent 0 and 1 at the same time, allowing Quantum Computers to perform multiple operations simultaneously.
Improved knowledge of the atom via new experiments and development of new theories (e.g. quantum mechanics).
A wave system functions with a complex system of quantum mechanics. It is essentially a function of time and space that is very difficult to people measure.
Self teaching yourself Quantum Mechanics? I would recommend any of Weinberg's textbooks (such as "Theory of Fields"). However, if you are more interested in a cursory understanding of Quantum Mechanics and Subatomic Particle Physics, I would recommend reading the following pop-sci books: 1. A Briefer Theory of Time, Steven Hawking 2. The Elegant Universe, Brian Greene 3. Hyperspace, Michio Kaku The latter two of the three mentioned focus on the more theoretical, but I read these three books and learned quite a bit of Quantum Mechanics, Standard Theory, etc. Two further books worth looking at if you are learning the basics of quantum theory in quite an easy-giong manner are: 'In Search of Shroedinger's Cat' 'Introducing Quantum Theory' I have read both and strongly recommend them.
it demonstrated the very important formula deduced by Einstein in quantum mechanicsnamely this was based on basic quantum operator formula.hopefully u know the basic formula.
it demonstrated the very important formula deduced by Einstein in quantum mechanicsnamely this was based on basic quantum operator formula.hopefully u know the basic formula.