Quantum Time and Quantum Evolution

نویسندگان

چکیده

The problem of quantum time and evolution systems, where is not a parameter, considered. In our model, following some earlier works, represented by operator. this paper, similarly to the position operators in Schrödinger representation mechanics, operator multiplication-type It can be also an appropriate positive operator-valued measure (POVM) which together with 3D operators/measures provide observable giving spacetime. itself stochastic process based on Lüder’s projection postulate. fact, it generalization unitary evolution. This allows treat generally spacetime as observable, consistent observer-independent way.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution

Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT -symmetric quantum system and have shown that the optimal time evolution required to transform a given initial state |ψi〉 into a specific final state |ψf 〉 can be made arbitrarily small. Additionally, it has been shown that finding the shortest possible time requires only the solution of the two...

متن کامل

Time evolution of quantum fractals

We propose a general construction of wave functions of arbitrary prescribed fractal dimension, for a wide class of quantum problems, including the infinite potential well, harmonic oscillator, linear potential, and free particle. The box-counting dimension of the probability density P(t)(x) = |Psi(x,t)|(2) is shown not to change during the time evolution. We prove a universal relation D(t) = 1+...

متن کامل

Quantum Evolution and Space-time Structure

The hilbert-space structure of quantum mechanics is related to the causal structure of space-time. The usual measurement hypotheses apparently preclude nonlinear or stochastic quantum evolution. By admitting a difference in the calculus of joint probabilities of events in space-time according to whether the separation is space-like or timelike, a relativistic nonlinear or stochastic quantum the...

متن کامل

Forward and backward time observables for quantum evolution and quantum stochastic processes -I: The time observables

Given a Hamiltonian H on a Hilbert space H it is shown that, under the assumption that σ(H) = σac(H) = R , there exist unique positive operators TF and TB registering the Schrödinger time evolution generated by H in the forward (future) direction and backward (past) direction respectively. These operators may be considered as time observables for the quantum evolution. Moreover, it is shown tha...

متن کامل

Quantum Mechanics without discontinuities in time evolution

I show that the apparent wave function collapse can take place smoothly, without discontinuities. The projections on the observable’s eigenspaces can be obtained by a delayed initial condition, imposed to the smooth time evolution of the observed system entangled with the measurement device used for the preparation. Since the quantum state of this device is not available entirely to the observe...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Universe

سال: 2023

ISSN: ['2218-1997']

DOI: https://doi.org/10.3390/universe9060256