## Potential Energy Operator given Hamiltonian Solution

STEP 0: Pre-Calculation Summary
Formula Used
Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator
V^ = Ĥ-T^
This formula uses 3 Variables
Variables Used
Potential Energy Operator - Potential Energy Operator corresponds to the classical interaction energies between particles in the system.
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).
Kinetic Energy Operator - Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.
STEP 1: Convert Input(s) to Base Unit
Hamiltonian of System: 16 --> No Conversion Required
Kinetic Energy Operator: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V^ = Ĥ-T^ --> 16-3
Evaluating ... ...
V^ = 13
STEP 3: Convert Result to Output's Unit
13 --> No Conversion Required
13 <-- Potential Energy Operator
(Calculation completed in 00.016 seconds)
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## Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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National Institute of Technology (NIT), Meghalaya
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## < 5 Hamiltonian System Calculators

Molecular Potential Energy of Molecules

## Molecular Potential Energy of Molecules

Formula
"E" = "E"_{"bonds"}+"E"_{"dihedral"}+"E"_{"angle"}+"E"_{"non-bonded"}

Example
"30.5KJ/mol"="12KJ/mol"+"5.5KJ/mol"+"10.5KJ/mol"+"2.5KJ/mol"

Calculator
LaTeX
Molecular Potential Energy = Energy of Bond Lengths+Energy of Torsion Angle+Energy of Bond Angles+Energy of Non Bonded Atom
Molecular Potential Energy of Non-bonded pairs of Atoms

## Molecular Potential Energy of Non-bonded pairs of Atoms

Formula
"E" = "E"_{"electrostatic"}+"E"_{"van "der" waals"}

Example
"21KJ/mol"="10.55KJ/mol"+"10.45KJ/mol"

Calculator
LaTeX
Molecular Potential Energy = Energy of Electrostatic Force+Energy of Van Der Waals Force
Potential Energy Operator given Hamiltonian

## Potential Energy Operator given Hamiltonian

Formula
"V"^{"^"} = "Ĥ"-"T"^{"^"}

Example
"13"="16"-"3"

Calculator
LaTeX
Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator
Kinetic Operator given Hamiltonian

## Kinetic Operator given Hamiltonian

Formula
"T"^{"^"} = "Ĥ"-"V"^{"^"}

Example
"6"="16"-"10"

Calculator
LaTeX
Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator
Hamiltonian of System

## Hamiltonian of System

Formula
"Ĥ" = "T"^{"^"}+"V"^{"^"}

Example
"13"="3"+"10"

Calculator
LaTeX
Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator

## Potential Energy Operator given Hamiltonian Formula

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

## 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 Potential Energy Operator given Hamiltonian?

Potential Energy Operator given Hamiltonian calculator uses Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator to calculate the Potential Energy Operator, The Potential Energy Operator given Hamiltonian formula corresponds to the classical interaction energies between particles in the system. It is calculated by subtracting kinetic energy operator from Hamiltonian system. Potential Energy Operator is denoted by V^ symbol.

How to calculate Potential Energy Operator given Hamiltonian using this online calculator? To use this online calculator for Potential Energy Operator given Hamiltonian, enter Hamiltonian of System (Ĥ) & Kinetic Energy Operator (T^) and hit the calculate button. Here is how the Potential Energy Operator given Hamiltonian calculation can be explained with given input values -> 13 = 16-3.

### FAQ

What is Potential Energy Operator given Hamiltonian?
The Potential Energy Operator given Hamiltonian formula corresponds to the classical interaction energies between particles in the system. It is calculated by subtracting kinetic energy operator from Hamiltonian system and is represented as V^ = Ĥ-T^ or Potential Energy Operator = Hamiltonian of System-Kinetic 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) & Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.
How to calculate Potential Energy Operator given Hamiltonian?
The Potential Energy Operator given Hamiltonian formula corresponds to the classical interaction energies between particles in the system. It is calculated by subtracting kinetic energy operator from Hamiltonian system is calculated using Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator. To calculate Potential Energy Operator given Hamiltonian, you need Hamiltonian of System (Ĥ) & Kinetic Energy Operator (T^). With our tool, you need to enter the respective value for Hamiltonian of System & Kinetic 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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