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The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A sli... more The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A slightly modified Wheeler- De Witt equation has been considered to examine the effect of higher order field variables on the potential function, through which an exact solution with suitable parameters is found. From the solution, it is seen that the universe expands or contracts exponentially. Other physical significance of the solution is also discussed.
The Online Public Access Catalogue (OPAC) changed the traditional card catalogue system. In the n... more The Online Public Access Catalogue (OPAC) changed the traditional card catalogue system. In the new system, data can be spread within computer and then the required entry can be retrieved immediately through OPAC system in any format. Now, user can search for information via OPAC and most recently, the internet. This paper describes what is OPAC, discusses about the OPACs & Web OPACs technology in libraries and explains various features, applications and advantages of Web OPACs. http://dx.doi.org/10.14429/dbit.26.2.3679
Foundations of Physics Letters, 2003
The Chittagong University Journal of Science, 2022
Wheeler-De Witt (WDW) equation is the central equation of canonical quantum gravity. For its infi... more Wheeler-De Witt (WDW) equation is the central equation of canonical quantum gravity. For its infinite dimensionality to get a meaningful solution of that equation is very hard. To extract minimal information, one has to consider WDW equation in Minisuperspace where there are only two variables, such as known radius of the Universe and the scalar field. In this paper we find the general solution of WDW equation in Minisuperspace. We discuss the physical significance of our solution. The Chittagong Univ. J. Sci. 43(1): 67-74, 2021
The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A sli... more The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A slightly modified Wheeler- De Witt equation has been considered to examine the effect of higher order field variables on the potential function, through which an exact solution with suitable parameters is found. From the solution, it is seen that the universe expands or contracts exponentially. Other physical significance of the solution is also discussed.
According to the inflationary model, the universe had a brief period of extraordinarily rapid exp... more According to the inflationary model, the universe had a brief period of extraordinarily rapid expansion or inflation during which its diameter increased by a factor at least 10 times larger than previously thought. In this work an analysis is given on inflationary universe, which expands at a rate intermediate between that of power-law and exponential inflation. We have examined the model of Barrow which is solved exactly and leaded to power law inflation. We have tested a new potential by applying the scalar field using the equation of motion and found some new interior solutions.
Feynman proposed a ground state wave functional as a generalized solution of Schrodinger function... more Feynman proposed a ground state wave functional as a generalized solution of Schrodinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
Foundations of Physics Letters, 2000
Foundations of …, 2003
There seems to exist a dilemma in the literature as to the correct relativistic formula for the S... more There seems to exist a dilemma in the literature as to the correct relativistic formula for the Sagnac phase-shift. The paper addresses this issue in the light of a novel, kinematically equivalent linear Sagnac-type thought experiment, which provides a ...
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A sli... more The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A slightly modified Wheeler- De Witt equation has been considered to examine the effect of higher order field variables on the potential function, through which an exact solution with suitable parameters is found. From the solution, it is seen that the universe expands or contracts exponentially. Other physical significance of the solution is also discussed.
The Online Public Access Catalogue (OPAC) changed the traditional card catalogue system. In the n... more The Online Public Access Catalogue (OPAC) changed the traditional card catalogue system. In the new system, data can be spread within computer and then the required entry can be retrieved immediately through OPAC system in any format. Now, user can search for information via OPAC and most recently, the internet. This paper describes what is OPAC, discusses about the OPACs & Web OPACs technology in libraries and explains various features, applications and advantages of Web OPACs. http://dx.doi.org/10.14429/dbit.26.2.3679
Foundations of Physics Letters, 2003
The Chittagong University Journal of Science, 2022
Wheeler-De Witt (WDW) equation is the central equation of canonical quantum gravity. For its infi... more Wheeler-De Witt (WDW) equation is the central equation of canonical quantum gravity. For its infinite dimensionality to get a meaningful solution of that equation is very hard. To extract minimal information, one has to consider WDW equation in Minisuperspace where there are only two variables, such as known radius of the Universe and the scalar field. In this paper we find the general solution of WDW equation in Minisuperspace. We discuss the physical significance of our solution. The Chittagong Univ. J. Sci. 43(1): 67-74, 2021
The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A sli... more The minisuperspace Wheeler-De Witt equation is solved exactly for some suitable parameters. A slightly modified Wheeler- De Witt equation has been considered to examine the effect of higher order field variables on the potential function, through which an exact solution with suitable parameters is found. From the solution, it is seen that the universe expands or contracts exponentially. Other physical significance of the solution is also discussed.
According to the inflationary model, the universe had a brief period of extraordinarily rapid exp... more According to the inflationary model, the universe had a brief period of extraordinarily rapid expansion or inflation during which its diameter increased by a factor at least 10 times larger than previously thought. In this work an analysis is given on inflationary universe, which expands at a rate intermediate between that of power-law and exponential inflation. We have examined the model of Barrow which is solved exactly and leaded to power law inflation. We have tested a new potential by applying the scalar field using the equation of motion and found some new interior solutions.
Feynman proposed a ground state wave functional as a generalized solution of Schrodinger function... more Feynman proposed a ground state wave functional as a generalized solution of Schrodinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
Foundations of Physics Letters, 2000
Foundations of …, 2003
There seems to exist a dilemma in the literature as to the correct relativistic formula for the S... more There seems to exist a dilemma in the literature as to the correct relativistic formula for the Sagnac phase-shift. The paper addresses this issue in the light of a novel, kinematically equivalent linear Sagnac-type thought experiment, which provides a ...
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.
I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theo... more I. Introduction Feynman examined the problem of confinement of gluons considering Yang-Mills theory in 2+1 dimensions in temporal gauge [1]. For the simplification of the problem he ignored the effect of quarks. He constructed the Hamiltonian which satisfies the functional Schrödinger equation. Feynman then suggested a ground state solution of that functional Schrödinger equation which is now known as Feynman conjecture. This conjecture can be expressed in full form i.e., 3+1 dimensions [2-4, 11]. We can consider this conjecture of flat space-time to express it into curved space-time. For this purpose we consider the Wheeler-DeWitt (WDW) equation of quantum gravity. Our proposed modified conjecture can be considered as a generalized solution of WDW equation. WDW equation [5-7] can be considered as the basic equation of quantum gravity. This equation cannot be solved for its infinite dimensionality [8]. Like Feynman conjecture for Yang-Mills field, similar conjecture can be made for quantum gravitational field. In this paper we propose that the modified Feynman conjecture for quantum gravitational field may be treated as an exact solution of WDW equation. II. Schrödinger Functional Equation for Yang-Mills Field in Temporal Gauge Let us consider the gauge group for the gluon field where and. The Lagrangian density for Yang-Mills field can be defined by where, the generalized field, can be defined by Let us now consider the temporal gauge so that Note that , n being the spatial part of the space-time index. Now, with the use of (3) the Lagrangian density (1) becomes Abstract: Feynman proposed a ground state wave functional as a generalized solution of Schrödinger functional equation for Yang-Mills field. We propose that a suitably modified conjecture in curved space-time can also be assumed as a generalized solution of Wheeler-DeWitt equation in quantum gravity. Wheeler-DeWitt equation is a functional differential equation for the wave function of the universe which is a functional of three geometries for a compact space-like sections of a closed universe with finite time duration.