Kinetic Operator given Hamiltonian Calculator

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✖Hamiltonian of System specifies its total energy. The sum of its kinetic energy (that of motion) and its potential energy (that of position).ⓘ Hamiltonian of System [Ĥ]			+10% -10%
✖Potential Energy Operator corresponds to the classical interaction energies between particles in the system.ⓘ Potential Energy Operator [V^{^}]			+10% -10%

✖Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.ⓘ Kinetic Operator given Hamiltonian [T^{^}]

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Formula

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Kinetic Operator given Hamiltonian

Formula

`"T"^{"^"} = "Ĥ"-"V"^{"^"}`

Example

`"6"="16"-"10"`

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Kinetic Operator given Hamiltonian Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator
T^{^} = Ĥ-V^{^}
This formula uses 3 Variables

Variables Used

Kinetic Energy Operator - Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.
Hamiltonian of System - Hamiltonian of System specifies its total energy. The sum of its kinetic energy (that of motion) and its potential energy (that of position).
Potential Energy Operator - Potential Energy Operator corresponds to the classical interaction energies between particles in the system.

STEP 1: Convert Input(s) to Base Unit

Hamiltonian of System: 16 --> No Conversion Required
Potential Energy Operator: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T^{^} = Ĥ-V^{^} --> 16-10

Evaluating ... ...

T^{^} = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Kinetic Energy Operator

(Calculation completed in 00.004 seconds)

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Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 5 Hamiltonian System Calculators

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Molecular Potential Energy of Non-bonded pairs of Atoms

Go Molecular Potential Energy = Energy of Electrostatic Force+Energy of Van Der Waals Force

Potential Energy Operator given Hamiltonian

Go Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator

Kinetic Operator given Hamiltonian

Go Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator

Hamiltonian of System

Go Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator

Kinetic Operator given Hamiltonian Formula

Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator
T^{^} = Ĥ-V^{^}

What is Quantum Chemistry?

Quantum chemistry, also called molecular quantum mechanics, is a branch of chemistry focused on the application of quantum mechanics to chemical systems. Understanding electronic structure and molecular dynamics using the Schrödinger equations are central topics in quantum chemistry.

How to Calculate Kinetic Operator given Hamiltonian?

Kinetic Operator given Hamiltonian calculator uses Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator to calculate the Kinetic Energy Operator, The Kinetic Operator given Hamiltonian formula involves potential operator and also Hamiltonian system. The kinetic energy operator is defined by ˆT =−ℏ22m∂2∂x2. Kinetic Energy Operator is denoted by T^{^} symbol.

How to calculate Kinetic Operator given Hamiltonian using this online calculator? To use this online calculator for Kinetic Operator given Hamiltonian, enter Hamiltonian of System (Ĥ) & Potential Energy Operator (V^{^}) and hit the calculate button. Here is how the Kinetic Operator given Hamiltonian calculation can be explained with given input values -> 6 = 16-10.

FAQ

What is Kinetic Operator given Hamiltonian?

The Kinetic Operator given Hamiltonian formula involves potential operator and also Hamiltonian system. The kinetic energy operator is defined by ˆT =−ℏ22m∂2∂x2 and is represented as T^{^} = Ĥ-V^{^} or Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator. Hamiltonian of System specifies its total energy. The sum of its kinetic energy (that of motion) and its potential energy (that of position) & Potential Energy Operator corresponds to the classical interaction energies between particles in the system.

How to calculate Kinetic Operator given Hamiltonian?

The Kinetic Operator given Hamiltonian formula involves potential operator and also Hamiltonian system. The kinetic energy operator is defined by ˆT =−ℏ22m∂2∂x2 is calculated using Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator. To calculate Kinetic Operator given Hamiltonian, you need Hamiltonian of System (Ĥ) & Potential Energy Operator (V^{^}). With our tool, you need to enter the respective value for Hamiltonian of System & Potential Energy Operator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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